3870374400 has 300 divisors, whose sum is σ = 14328377382. Its totient is φ = 1031823360.

The previous prime is 3870374393. The next prime is 3870374419. The reversal of 3870374400 is 44730783.

It can be written as a sum of positive squares in 3 ways, for example, as 2947186944 + 923187456 = 54288^2 + 30384^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1034934 + ... + 1038666.

Almost surely, 2^3870374400 is an apocalyptic number.

3870374400 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 3870374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164188691).

3870374400 is an abundant number, since it is smaller than the sum of its proper divisors (10458002982).

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

3870374400 is an equidigital number, since it uses as much as digits as its factorization.

3870374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3743 counting only the distinct ones).

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

The square root of 3870374400 is about 62212.3331824165. Note that the first 3 decimals coincide. The cubic root of 3870374400 is about 1570.0650979810.

The spelling of 3870374400 in words is "three billion, eight hundred seventy million, three hundred seventy-four thousand, four hundred".