3972499200 has 540 divisors, whose sum is σ = 15027406240. Its totient is φ = 1035141120.

The previous prime is 3972499189. The next prime is 3972499217. The reversal of 3972499200 is 29942793.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40953552 + ... + 40953648.

Almost surely, 2^3972499200 is an apocalyptic number.

3972499200 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 3972499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513703120).

3972499200 is an abundant number, since it is smaller than the sum of its proper divisors (11054907040).

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

3972499200 is an equidigital number, since it uses as much as digits as its factorization.

3972499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3972499200 is about 63027.7653102186. The cubic root of 3972499200 is about 1583.7547829769.

The spelling of 3972499200 in words is "three billion, nine hundred seventy-two million, four hundred ninety-nine thousand, two hundred".