3869590076352 has 1680 divisors, whose sum is σ = 15772596352128. Its totient is φ = 922086789120.

The previous prime is 3869590076321. The next prime is 3869590076357. The reversal of 3869590076352 is 2536700959683.

3869590076352 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 590 + 0 + 7 + 6 + 35 + 2 = 666.

3869590076352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3869590076352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3869590076357) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11151556243 + ... + 11151556589.

Almost surely, 2^{3869590076352} is an apocalyptic number.

3869590076352 is a gapful number since it is divisible by the number (32) 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 3869590076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886298176064).

3869590076352 is an abundant number, since it is smaller than the sum of its proper divisors (11903006275776).

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

3869590076352 is a wasteful number, since it uses less digits than its factorization.

3869590076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 3869590076352 in words is "three trillion, eight hundred sixty-nine billion, five hundred ninety million, seventy-six thousand, three hundred fifty-two".