3731918400 has 1008 divisors, whose sum is σ = 16588313280. Its totient is φ = 812851200.

The previous prime is 3731918303. The next prime is 3731918413. The reversal of 3731918400 is 48191373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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, 86788779 + ... + 86788821.

It is an arithmetic number, because the mean of its divisors is an integer number (16456660).

Almost surely, 2^3731918400 is an apocalyptic number.

3731918400 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 3731918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294156640).

3731918400 is an abundant number, since it is smaller than the sum of its proper divisors (12856394880).

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

3731918400 is a wasteful number, since it uses less digits than its factorization.

3731918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3731918400 is about 61089.4295275377. The cubic root of 3731918400 is about 1551.1151738902.

The spelling of 3731918400 in words is "three billion, seven hundred thirty-one million, nine hundred eighteen thousand, four hundred".