3870734400 has 1008 divisors, whose sum is σ = 16508943360. Its totient is φ = 851558400.

The previous prime is 3870734389. The next prime is 3870734411. The reversal of 3870734400 is 44370783.

It is an interprime number because it is at equal distance from previous prime (3870734389) and next prime (3870734411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124862385 + ... + 124862415.

It is an arithmetic number, because the mean of its divisors is an integer number (16377920).

Almost surely, 2^3870734400 is an apocalyptic number.

3870734400 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 3870734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

3870734400 is an abundant number, since it is smaller than the sum of its proper divisors (12638208960).

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

3870734400 is a wasteful number, since it uses less digits than its factorization.

3870734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3870734400 is about 62215.2264321203. The cubic root of 3870734400 is about 1570.1137759514.

The spelling of 3870734400 in words is "three billion, eight hundred seventy million, seven hundred thirty-four thousand, four hundred".