3915489672864 has 1536 divisors, whose sum is σ = 14960177971200. Its totient is φ = 975270067200.

The previous prime is 3915489672799. The next prime is 3915489672893. The reversal of 3915489672864 is 4682769845193.

3915489672864 is a `hidden beast` number, since 3 + 9 + 1 + 5 + 489 + 67 + 2 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (627056640) is a multiple of the sum of its prime divisors (280).

It is a junction number, because it is equal to n+sod(n) for n = 3915489672792 and 3915489672801.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29889234079 + ... + 29889234209.

It is an arithmetic number, because the mean of its divisors is an integer number (9739699200).

Almost surely, 2^{3915489672864} 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 3915489672864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480088985600).

3915489672864 is an abundant number, since it is smaller than the sum of its proper divisors (11044688298336).

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

3915489672864 is a wasteful number, since it uses less digits than its factorization.

3915489672864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 3915489672864 in words is "three trillion, nine hundred fifteen billion, four hundred eighty-nine million, six hundred seventy-two thousand, eight hundred sixty-four".