3679562688090 has 128 divisors (see below), whose sum is σ = 9432522835200. Its totient is φ = 915920732160.

The previous prime is 3679562688089. The next prime is 3679562688133. The reversal of 3679562688090 is 908862659763.

It is a Curzon number.

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, 41940670 + ... + 42028310.

It is an arithmetic number, because the mean of its divisors is an integer number (73691584650).

Almost surely, 2^{3679562688090} is an apocalyptic number.

3679562688090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3679562688090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716261417600).

3679562688090 is an abundant number, since it is smaller than the sum of its proper divisors (5752960147110).

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

3679562688090 is a wasteful number, since it uses less digits than its factorization.

3679562688090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88752.

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 3679562688090 in words is "three trillion, six hundred seventy-nine billion, five hundred sixty-two million, six hundred eighty-eight thousand, ninety".