3972270456 has 576 divisors, whose sum is σ = 15058068480. Its totient is φ = 966712320.

The previous prime is 3972270433. The next prime is 3972270479. The reversal of 3972270456 is 6540722793.

It is an interprime number because it is at equal distance from previous prime (3972270433) and next prime (3972270479).

It is a super-2 number, since 2×3972270456² = 31557865151220895872, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17812761 + ... + 17812983.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^3972270456 is an apocalyptic number.

3972270456 is a gapful number since it is divisible by the number (36) 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 3972270456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3972270456 is an abundant number, since it is smaller than the sum of its proper divisors (11085798024).

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

3972270456 is a wasteful number, since it uses less digits than its factorization.

3972270456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3972270456 is about 63025.9506552658. The cubic root of 3972270456 is about 1583.7243838637.

The spelling of 3972270456 in words is "three billion, nine hundred seventy-two million, two hundred seventy thousand, four hundred fifty-six".