3557608416 has 72 divisors (see below), whose sum is σ = 10238908680. Its totient is φ = 1171574016.

The previous prime is 3557608403. The next prime is 3557608427. The reversal of 3557608416 is 6148067553.

3557608416 is a `hidden beast` number, since 3 + 557 + 6 + 0 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50511 + ... + 98318.

It is an arithmetic number, because the mean of its divisors is an integer number (142207065).

Almost surely, 2^3557608416 is an apocalyptic number.

3557608416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3557608416 is an abundant number, since it is smaller than the sum of its proper divisors (6681300264).

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

3557608416 is a wasteful number, since it uses less digits than its factorization.

3557608416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148928 (or 148917 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3557608416 is about 59645.6906741803. The cubic root of 3557608416 is about 1526.5793425471.

The spelling of 3557608416 in words is "three billion, five hundred fifty-seven million, six hundred eight thousand, four hundred sixteen".