3725092800 has 1008 divisors, whose sum is σ = 16371368832. Its totient is φ = 821145600.

The previous prime is 3725092769. The next prime is 3725092801. The reversal of 3725092800 is 82905273.

It is a happy number.

3725092800 is a `hidden beast` number, since 3 + 72 + 509 + 2 + 80 + 0 = 666.

It is a super-3 number, since 3×3725092800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725092801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55598367 + ... + 55598433.

Almost surely, 2^3725092800 is an apocalyptic number.

3725092800 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 3725092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185684416).

3725092800 is an abundant number, since it is smaller than the sum of its proper divisors (12646276032).

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

3725092800 is a wasteful number, since it uses less digits than its factorization.

3725092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3725092800 is about 61033.5383211559. The cubic root of 3725092800 is about 1550.1689444709.

The spelling of 3725092800 in words is "three billion, seven hundred twenty-five million, ninety-two thousand, eight hundred".