3735151056 has 720 divisors, whose sum is σ = 14760555264. Its totient is φ = 886837248.

The previous prime is 3735151027. The next prime is 3735151061. The reversal of 3735151056 is 6501515373.

3735151056 is a `hidden beast` number, since 37 + 3 + 515 + 105 + 6 = 666.

3735151056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3735151056² = 27902706822275830272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3735151056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162397861 + ... + 162397883.

Almost surely, 2^3735151056 is an apocalyptic number.

3735151056 is a gapful number since it is divisible by the number (36) 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 3735151056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380277632).

3735151056 is an abundant number, since it is smaller than the sum of its proper divisors (11025404208).

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

3735151056 is a wasteful number, since it uses less digits than its factorization.

3735151056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 3735151056 is about 61115.8821911293. The cubic root of 3735151056 is about 1551.5629127499.

The spelling of 3735151056 in words is "three billion, seven hundred thirty-five million, one hundred fifty-one thousand, fifty-six".