3837974400 has 960 divisors, whose sum is σ = 16390669680. Its totient is φ = 875888640.

The previous prime is 3837974381. The next prime is 3837974411. The reversal of 3837974400 is 44797383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57283167 + ... + 57283233.

Almost surely, 2^3837974400 is an apocalyptic number.

3837974400 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 3837974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195334840).

3837974400 is an abundant number, since it is smaller than the sum of its proper divisors (12552695280).

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

3837974400 is a wasteful number, since it uses less digits than its factorization.

3837974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3837974400 is about 61951.3873936654. The cubic root of 3837974400 is about 1565.6716623476.

The spelling of 3837974400 in words is "three billion, eight hundred thirty-seven million, nine hundred seventy-four thousand, four hundred".