3725008200 has 72 divisors (see below), whose sum is σ = 12509825250. Its totient is φ = 993335040.

The previous prime is 3725008109. The next prime is 3725008207. The reversal of 3725008200 is 28005273.

It can be written as a sum of positive squares in 3 ways, for example, as 3001505796 + 723502404 = 54786^2 + 26898^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3725008200³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3725008207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1032925 + ... + 1036524.

Almost surely, 2^3725008200 is an apocalyptic number.

3725008200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3725008200 is an abundant number, since it is smaller than the sum of its proper divisors (8784817050).

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

3725008200 is a wasteful number, since it uses less digits than its factorization.

3725008200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069471 (or 2069459 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3725008200 is about 61032.8452556490. The cubic root of 3725008200 is about 1550.1572091672.

The spelling of 3725008200 in words is "three billion, seven hundred twenty-five million, eight thousand, two hundred".