3869268600960 has 2560 divisors, whose sum is σ = 17599968460800. Its totient is φ = 790091366400.

The previous prime is 3869268600959. The next prime is 3869268600973. The reversal of 3869268600960 is 690068629683.

3869268600960 is a `hidden beast` number, since 386 + 92 + 6 + 86 + 0 + 0 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9190661550 + ... + 9190661970.

It is an arithmetic number, because the mean of its divisors is an integer number (6874987680).

Almost surely, 2^{3869268600960} is an apocalyptic number.

3869268600960 is a gapful number since it is divisible by the number (30) 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 3869268600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799984230400).

3869268600960 is an abundant number, since it is smaller than the sum of its proper divisors (13730699859840).

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

3869268600960 is a wasteful number, since it uses less digits than its factorization.

3869268600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 3869268600960 in words is "three trillion, eight hundred sixty-nine billion, two hundred sixty-eight million, six hundred thousand, nine hundred sixty".