3879014400 has 624 divisors, whose sum is σ = 15113377920. Its totient is φ = 973209600.

The previous prime is 3879014357. The next prime is 3879014437. The reversal of 3879014400 is 44109783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63590370 + ... + 63590430.

Almost surely, 2^3879014400 is an apocalyptic number.

3879014400 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 3879014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556688960).

3879014400 is an abundant number, since it is smaller than the sum of its proper divisors (11234363520).

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

3879014400 is a wasteful number, since it uses less digits than its factorization.

3879014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3879014400 is about 62281.7340799050. The cubic root of 3879014400 is about 1571.2325372146.

The spelling of 3879014400 in words is "three billion, eight hundred seventy-nine million, fourteen thousand, four hundred".