3557208878784 has 448 divisors, whose sum is σ = 12177876787200. Its totient is φ = 1006817817600.

The previous prime is 3557208878767. The next prime is 3557208878809. The reversal of 3557208878784 is 4878788027553.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25572429 + ... + 25711155.

Almost surely, 2^{3557208878784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3557208878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088938393600).

3557208878784 is an abundant number, since it is smaller than the sum of its proper divisors (8620667908416).

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

3557208878784 is a wasteful number, since it uses less digits than its factorization.

3557208878784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138849 (or 138833 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 3557208878784 in words is "three trillion, five hundred fifty-seven billion, two hundred eight million, eight hundred seventy-eight thousand, seven hundred eighty-four".