3725101800 has 288 divisors, whose sum is σ = 14368723200. Its totient is φ = 847203840.

The previous prime is 3725101789. The next prime is 3725101819. The reversal of 3725101800 is 81015273.

3725101800 is a `hidden beast` number, since 3 + 72 + 510 + 1 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3010782 + ... + 3012018.

It is an arithmetic number, because the mean of its divisors is an integer number (49891400).

Almost surely, 2^3725101800 is an apocalyptic number.

3725101800 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 3725101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184361600).

3725101800 is an abundant number, since it is smaller than the sum of its proper divisors (10643621400).

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

3725101800 is a wasteful number, since it uses less digits than its factorization.

3725101800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 3725101800 is about 61033.6120510658. The cubic root of 3725101800 is about 1550.1701928970.

The spelling of 3725101800 in words is "three billion, seven hundred twenty-five million, one hundred one thousand, eight hundred".