3972096 has 66 divisors (see below), whose sum is σ = 11495952. Its totient is φ = 1320960.

The previous prime is 3972091. The next prime is 3972103. The reversal of 3972096 is 6902793.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3972096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9001 + ... + 9431.

Almost surely, 2^3972096 is an apocalyptic number.

3972096 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 3972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747976).

3972096 is an abundant number, since it is smaller than the sum of its proper divisors (7523856).

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

3972096 is a wasteful number, since it uses less digits than its factorization.

3972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3972096 is about 1993.0117912346. The cubic root of 3972096 is about 158.3701198612.

The spelling of 3972096 in words is "three million, nine hundred seventy-two thousand, ninety-six".