3879324057600 has 1920 divisors, whose sum is σ = 16106243353200. Its totient is φ = 917294284800.

The previous prime is 3879324057593. The next prime is 3879324057611. The reversal of 3879324057600 is 67504239783.

3879324057600 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 3 + 24 + 0 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21432729510 + ... + 21432729690.

Almost surely, 2^{3879324057600} is an apocalyptic number.

3879324057600 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 3879324057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053121676600).

3879324057600 is an abundant number, since it is smaller than the sum of its proper divisors (12226919295600).

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

3879324057600 is a wasteful number, since it uses less digits than its factorization.

3879324057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3879324057600 in words is "three trillion, eight hundred seventy-nine billion, three hundred twenty-four million, fifty-seven thousand, six hundred".