3688322146590 has 128 divisors (see below), whose sum is σ = 9507634329600. Its totient is φ = 912462387200.

The previous prime is 3688322146577. The next prime is 3688322146657. The reversal of 3688322146590 is 956412238863.

It is a self number, because there is not a number n which added to its sum of digits gives 3688322146590.

It is a congruent 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, 9769435 + ... + 10139945.

It is an arithmetic number, because the mean of its divisors is an integer number (74278393200).

Almost surely, 2^{3688322146590} is an apocalyptic number.

3688322146590 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 3688322146590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753817164800).

3688322146590 is an abundant number, since it is smaller than the sum of its proper divisors (5819312183010).

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

3688322146590 is a wasteful number, since it uses less digits than its factorization.

3688322146590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370818.

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 3688322146590 in words is "three trillion, six hundred eighty-eight billion, three hundred twenty-two million, one hundred forty-six thousand, five hundred ninety".