3965472 has 108 divisors (see below), whose sum is σ = 13164606. Its totient is φ = 1128960.

The previous prime is 3965461. The next prime is 3965483. The reversal of 3965472 is 2745693.

It is an interprime number because it is at equal distance from previous prime (3965461) and next prime (3965483).

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 853776 = 1764^2 + 924^2 .

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13972 + ... + 14252.

Almost surely, 2^3965472 is an apocalyptic number.

3965472 is a gapful number since it is divisible by the number (32) 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 3965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582303).

3965472 is an abundant number, since it is smaller than the sum of its proper divisors (9199134).

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

3965472 is a wasteful number, since it uses less digits than its factorization.

3965472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

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

The square root of 3965472 is about 1991.3492913098. The cubic root of 3965472 is about 158.2820364451.

The spelling of 3965472 in words is "three million, nine hundred sixty-five thousand, four hundred seventy-two".