3712972800 has 288 divisors, whose sum is σ = 12820429440. Its totient is φ = 946176000.

The previous prime is 3712972759. The next prime is 3712972843. The reversal of 3712972800 is 82792173.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532275 + ... + 3533325.

It is an arithmetic number, because the mean of its divisors is an integer number (44515380).

Almost surely, 2^3712972800 is an apocalyptic number.

3712972800 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 3712972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410214720).

3712972800 is an abundant number, since it is smaller than the sum of its proper divisors (9107456640).

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

3712972800 is a wasteful number, since it uses less digits than its factorization.

3712972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 3712972800 is about 60934.1677550453. The cubic root of 3712972800 is about 1548.4859026554.

The spelling of 3712972800 in words is "three billion, seven hundred twelve million, nine hundred seventy-two thousand, eight hundred".