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3722574240 = 2533571119231
BaseRepresentation
bin1101110111100001…
…1111100110100000
3100121102200100212000
43131320133212200
530110434333430
61413215404000
7161151234060
oct33570374640
910542610760
103722574240
111640329140
1287a823600
134742c8968
142745793a0
1516bc24e60
hexdde1f9a0

3722574240 has 1152 divisors, whose sum is σ = 17696931840. Its totient is φ = 709171200.

The previous prime is 3722574239. The next prime is 3722574281. The reversal of 3722574240 is 424752273.

It is a happy number.

3722574240 is a `hidden beast` number, since 3 + 7 + 225 + 7 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3722574195 and 3722574204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120083025 + ... + 120083055.

It is an arithmetic number, because the mean of its divisors is an integer number (15361920).

Almost surely, 23722574240 is an apocalyptic number.

3722574240 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 3722574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848465920).

3722574240 is an abundant number, since it is smaller than the sum of its proper divisors (13974357600).

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

3722574240 is a wasteful number, since it uses less digits than its factorization.

3722574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 3722574240 is about 61012.9022420668. The cubic root of 3722574240 is about 1549.8195058644.

The spelling of 3722574240 in words is "three billion, seven hundred twenty-two million, five hundred seventy-four thousand, two hundred forty".