3972456 has 64 divisors (see below), whose sum is σ = 11275200. Its totient is φ = 1295424.

The previous prime is 3972439. The next prime is 3972467. The reversal of 3972456 is 6542793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹³ + 9 + 7 + 2²¹ + 4⁵ + 5 + 6⁷ .

Its product of digits (45360) is a multiple of the sum of its prime divisors (405).

It is a self number, because there is not a number n which added to its sum of digits gives 3972456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11275 + ... + 11621.

It is an arithmetic number, because the mean of its divisors is an integer number (176175).

Almost surely, 2^3972456 is an apocalyptic number.

3972456 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 3972456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637600).

3972456 is an abundant number, since it is smaller than the sum of its proper divisors (7302744).

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

3972456 is a wasteful number, since it uses less digits than its factorization.

3972456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3972456 is about 1993.1021047603. The cubic root of 3972456 is about 158.3749041968.

The spelling of 3972456 in words is "three million, nine hundred seventy-two thousand, four hundred fifty-six".