3774038400 has 864 divisors, whose sum is σ = 16022802600. Its totient is φ = 866764800.

The previous prime is 3774038371. The next prime is 3774038447. The reversal of 3774038400 is 48304773.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 198633591 + ... + 198633609.

Almost surely, 2^3774038400 is an apocalyptic number.

3774038400 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 3774038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011401300).

3774038400 is an abundant number, since it is smaller than the sum of its proper divisors (12248764200).

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

3774038400 is a wasteful number, since it uses less digits than its factorization.

3774038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

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

The square root of 3774038400 is about 61433.2027490021. The cubic root of 3774038400 is about 1556.9288691559.

The spelling of 3774038400 in words is "three billion, seven hundred seventy-four million, thirty-eight thousand, four hundred".