3872139870816 has 240 divisors, whose sum is σ = 13089932390304. Its totient is φ = 1099929839616.

The previous prime is 3872139870779. The next prime is 3872139870827. The reversal of 3872139870816 is 6180789312783.

3872139870816 is a `hidden beast` number, since 3 + 87 + 21 + 398 + 70 + 81 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2522116 + ... + 3755708.

Almost surely, 2^{3872139870816} is an apocalyptic number.

3872139870816 is a gapful number since it is divisible by the number (36) 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 3872139870816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544966195152).

3872139870816 is an abundant number, since it is smaller than the sum of its proper divisors (9217792519488).

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

3872139870816 is a wasteful number, since it uses less digits than its factorization.

3872139870816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233795 (or 1233778 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 3872139870816 in words is "three trillion, eight hundred seventy-two billion, one hundred thirty-nine million, eight hundred seventy thousand, eight hundred sixteen".