3557508304896 has 1872 divisors, whose sum is σ = 13856787829248. Its totient is φ = 902961561600.

The previous prime is 3557508304879. The next prime is 3557508304943. The reversal of 3557508304896 is 6984038057553.

3557508304896 is a `hidden beast` number, since 3 + 5 + 5 + 7 + 508 + 30 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×3557508304896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19654741926 + ... + 19654742106.

Almost surely, 2^{3557508304896} is an apocalyptic number.

3557508304896 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 3557508304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928393914624).

3557508304896 is an abundant number, since it is smaller than the sum of its proper divisors (10299279524352).

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

3557508304896 is a wasteful number, since it uses less digits than its factorization.

3557508304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3557508304896 in words is "three trillion, five hundred fifty-seven billion, five hundred eight million, three hundred four thousand, eight hundred ninety-six".