3679557575408 has 120 divisors (see below), whose sum is σ = 8430473022336. Its totient is φ = 1542228230400.

The previous prime is 3679557575357. The next prime is 3679557575411. The reversal of 3679557575408 is 8045757559763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28102253 + ... + 28232883.

Almost surely, 2^{3679557575408} 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 3679557575408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215236511168).

3679557575408 is an abundant number, since it is smaller than the sum of its proper divisors (4750915446928).

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

3679557575408 is a wasteful number, since it uses less digits than its factorization.

3679557575408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131623 (or 131604 counting only the distinct ones).

The product of its (nonzero) digits is 1111320000, while the sum is 71.

The spelling of 3679557575408 in words is "three trillion, six hundred seventy-nine billion, five hundred fifty-seven million, five hundred seventy-five thousand, four hundred eight".