3972446838360 has 1440 divisors, whose sum is σ = 18386454628080. Its totient is φ = 761899944960.

The previous prime is 3972446838317. The next prime is 3972446838379. The reversal of 3972446838360 is 638386442793.

3972446838360 is a `hidden beast` number, since 3 + 9 + 7 + 244 + 6 + 8 + 383 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 249721527 + ... + 249737433.

Almost surely, 2^{3972446838360} is an apocalyptic number.

3972446838360 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 3972446838360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193227314040).

3972446838360 is an abundant number, since it is smaller than the sum of its proper divisors (14414007789720).

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

3972446838360 is a wasteful number, since it uses less digits than its factorization.

3972446838360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15979 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 3972446838360 in words is "three trillion, nine hundred seventy-two billion, four hundred forty-six million, eight hundred thirty-eight thousand, three hundred sixty".