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3725064000 = 263253719389
BaseRepresentation
bin1101111000000111…
…1111011101000000
3100121121100212011100
43132001333131000
530112104022000
61413345014400
7161211343620
oct33601773500
910547325140
103725064000
111641779799
1287b624400
1347498aca8
14274a26880
1516c067a00
hexde07f740

3725064000 has 672 divisors, whose sum is σ = 16071494400. Its totient is φ = 804556800.

The previous prime is 3725063999. The next prime is 3725064001. The reversal of 3725064000 is 4605273.

It is a happy number.

3725064000 is a `hidden beast` number, since 3 + 7 + 250 + 6 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3725063999) and next prime (3725064001).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×37250640002 = 27752203608192000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9575806 + ... + 9576194.

Almost surely, 23725064000 is an apocalyptic number.

3725064000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035747200).

3725064000 is an abundant number, since it is smaller than the sum of its proper divisors (12346430400).

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

3725064000 is a wasteful number, since it uses less digits than its factorization.

3725064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3725064000 is about 61033.3023848456. The cubic root of 3725064000 is about 1550.1649494938.

Adding to 3725064000 its reverse (4605273), we get a palindrome (3729669273).

The spelling of 3725064000 in words is "three billion, seven hundred twenty-five million, sixty-four thousand".