3557208960 has 384 divisors, whose sum is σ = 12931682400. Its totient is φ = 934281216.

The previous prime is 3557208947. The next prime is 3557208989. The reversal of 3557208960 is 698027553.

It is a happy number.

3557208960 is a `hidden beast` number, since 3 + 557 + 2 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 13841152 + ... + 13841408.

Almost surely, 2^3557208960 is an apocalyptic number.

3557208960 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 3557208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465841200).

3557208960 is an abundant number, since it is smaller than the sum of its proper divisors (9374473440).

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

3557208960 is an equidigital number, since it uses as much as digits as its factorization.

3557208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3557208960 is about 59642.3420063297. The cubic root of 3557208960 is about 1526.5222045271.

The spelling of 3557208960 in words is "three billion, five hundred fifty-seven million, two hundred eight thousand, nine hundred sixty".