3879340992 has 224 divisors, whose sum is σ = 11879884800. Its totient is φ = 1240012800.

The previous prime is 3879340951. The next prime is 3879341009. The reversal of 3879340992 is 2990439783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7445692 + ... + 7446212.

It is an arithmetic number, because the mean of its divisors is an integer number (53035200).

Almost surely, 2^3879340992 is an apocalyptic number.

3879340992 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 3879340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939942400).

3879340992 is an abundant number, since it is smaller than the sum of its proper divisors (8000543808).

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

3879340992 is a wasteful number, since it uses less digits than its factorization.

3879340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3879340992 is about 62284.3559170359. The cubic root of 3879340992 is about 1571.2766323998.

The spelling of 3879340992 in words is "three billion, eight hundred seventy-nine million, three hundred forty thousand, nine hundred ninety-two".