3972415574400 has 1728 divisors, whose sum is σ = 16670837551680. Its totient is φ = 828525035520.

The previous prime is 3972415574383. The next prime is 3972415574417. The reversal of 3972415574400 is 44755142793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3972415574383) and next prime (3972415574417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8506242967 + ... + 8506243433.

It is an arithmetic number, because the mean of its divisors is an integer number (9647475435).

Almost surely, 2^{3972415574400} is an apocalyptic number.

3972415574400 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 3972415574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335418775840).

3972415574400 is an abundant number, since it is smaller than the sum of its proper divisors (12698421977280).

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

3972415574400 is a wasteful number, since it uses less digits than its factorization.

3972415574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 3972415574400 in words is "three trillion, nine hundred seventy-two billion, four hundred fifteen million, five hundred seventy-four thousand, four hundred".