3713925600 has 1296 divisors, whose sum is σ = 17766831600. Its totient is φ = 745113600.

The previous prime is 3713925583. The next prime is 3713925637. The reversal of 3713925600 is 65293173.

3713925600 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 92 + 560 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 128066386 + ... + 128066414.

It is an arithmetic number, because the mean of its divisors is an integer number (13708975).

Almost surely, 2^3713925600 is an apocalyptic number.

3713925600 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 3713925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883415800).

3713925600 is an abundant number, since it is smaller than the sum of its proper divisors (14052906000).

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

3713925600 is a wasteful number, since it uses less digits than its factorization.

3713925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3713925600 is about 60941.9855272209. The cubic root of 3713925600 is about 1548.6183456028.

The spelling of 3713925600 in words is "three billion, seven hundred thirteen million, nine hundred twenty-five thousand, six hundred".