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3725568468 = 2232315695867
BaseRepresentation
bin1101111000001111…
…1010100111010100
3100121122022111011100
43132003322213110
530112221142333
61413403510100
7161215544436
oct33603724724
910548274140
103725568468
111641a93806
1287b828330
13474b067ab
14274b18656
1516c117213
hexde0fa9d4

3725568468 has 72 divisors (see below), whose sum is σ = 9739941120. Its totient is φ = 1199479680.

The previous prime is 3725568467. The next prime is 3725568503. The reversal of 3725568468 is 8648655273.

3725568468 is a `hidden beast` number, since 3 + 7 + 2 + 556 + 84 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725568463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632071 + ... + 637937.

It is an arithmetic number, because the mean of its divisors is an integer number (135276960).

Almost surely, 23725568468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725568468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869970560).

3725568468 is an abundant number, since it is smaller than the sum of its proper divisors (6014372652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3725568468 is a wasteful number, since it uses less digits than its factorization.

3725568468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6472 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 3725568468 is about 61037.4349723184. The cubic root of 3725568468 is about 1550.2349235321.

The spelling of 3725568468 in words is "three billion, seven hundred twenty-five million, five hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 569 1116 1138 1707 2276 3414 5121 5867 6828 10242 11734 17601 17639 20484 23468 35202 35278 52803 52917 70404 70556 105606 105834 158751 181877 211212 211668 317502 363754 545631 635004 727508 1091262 1636893 2182524 3273786 3338323 6547572 6676646 10014969 13353292 20029938 30044907 40059876 60089814 103488013 120179628 206976026 310464039 413952052 620928078 931392117 1241856156 1862784234 3725568468