3557332316160 has 1872 divisors, whose sum is σ = 15429233364480. Its totient is φ = 740524032000.

The previous prime is 3557332316137. The next prime is 3557332316177. The reversal of 3557332316160 is 616132337553.

3557332316160 is a `hidden beast` number, since 3 + 5 + 5 + 7 + 3 + 3 + 23 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×3557332316160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23558492085 + ... + 23558492235.

It is an arithmetic number, because the mean of its divisors is an integer number (8242111840).

Almost surely, 2^{3557332316160} is an apocalyptic number.

3557332316160 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 3557332316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714616682240).

3557332316160 is an abundant number, since it is smaller than the sum of its proper divisors (11871901048320).

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

3557332316160 is a wasteful number, since it uses less digits than its factorization.

3557332316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 3557332316160 in words is "three trillion, five hundred fifty-seven billion, three hundred thirty-two million, three hundred sixteen thousand, one hundred sixty".