3878667344160 has 1536 divisors, whose sum is σ = 16271858534400. Its totient is φ = 844675153920.

The previous prime is 3878667344059. The next prime is 3878667344179. The reversal of 3878667344160 is 614437668783.

3878667344160 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 66 + 73 + 441 + 60 = 666.

It is a super-2 number, since 2×3878667344160² (a number of 26 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 9483294036 + ... + 9483294444.

It is an arithmetic number, because the mean of its divisors is an integer number (10593657900).

Almost surely, 2^{3878667344160} is an apocalyptic number.

3878667344160 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 3878667344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135929267200).

3878667344160 is an abundant number, since it is smaller than the sum of its proper divisors (12393191190240).

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

3878667344160 is a wasteful number, since it uses less digits than its factorization.

3878667344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 3878667344160 in words is "three trillion, eight hundred seventy-eight billion, six hundred sixty-seven million, three hundred forty-four thousand, one hundred sixty".