3879390412800 has 1764 divisors, whose sum is σ = 17053864159920. Its totient is φ = 856141332480.

The previous prime is 3879390412769. The next prime is 3879390412831. The reversal of 3879390412800 is 82140939783.

3879390412800 is a `hidden beast` number, since 387 + 93 + 90 + 4 + 12 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3879390412769) and next prime (3879390412831).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 133772083186 + ... + 133772083214.

Almost surely, 2^{3879390412800} is an apocalyptic number.

3879390412800 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 3879390412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526932079960).

3879390412800 is an abundant number, since it is smaller than the sum of its proper divisors (13174473747120).

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

3879390412800 is an frugal number, since it uses more digits than its factorization.

3879390412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3879390412800 in words is "three trillion, eight hundred seventy-nine billion, three hundred ninety million, four hundred twelve thousand, eight hundred".