3610054656 has 416 divisors, whose sum is σ = 12036183040. Its totient is φ = 1074954240.

The previous prime is 3610054597. The next prime is 3610054661. The reversal of 3610054656 is 6564500163.

3610054656 is a `hidden beast` number, since 3 + 6 + 100 + 546 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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 3610054656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116453361 + ... + 116453391.

Almost surely, 2^3610054656 is an apocalyptic number.

3610054656 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 3610054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018091520).

3610054656 is an abundant number, since it is smaller than the sum of its proper divisors (8426128384).

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

3610054656 is an frugal number, since it uses more digits than its factorization.

3610054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3610054656 is about 60083.7303768666. The cubic root of 3610054656 is about 1534.0443861964.

The spelling of 3610054656 in words is "three billion, six hundred ten million, fifty-four thousand, six hundred fifty-six".