3718634400 has 1152 divisors, whose sum is σ = 16536441600. Its totient is φ = 796262400.

The previous prime is 3718634377. The next prime is 3718634459. The reversal of 3718634400 is 44368173.

3718634400 is a `hidden beast` number, since 3 + 7 + 18 + 634 + 4 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 90698380 + ... + 90698420.

It is an arithmetic number, because the mean of its divisors is an integer number (14354550).

Almost surely, 2^3718634400 is an apocalyptic number.

3718634400 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 3718634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268220800).

3718634400 is an abundant number, since it is smaller than the sum of its proper divisors (12817807200).

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

3718634400 is a wasteful number, since it uses less digits than its factorization.

3718634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3718634400 is about 60980.6067532949. The cubic root of 3718634400 is about 1549.2725549379.

The spelling of 3718634400 in words is "three billion, seven hundred eighteen million, six hundred thirty-four thousand, four hundred".