3965364 has 72 divisors (see below), whose sum is σ = 11134760. Its totient is φ = 1181952.

The previous prime is 3965359. The next prime is 3965371. The reversal of 3965364 is 4635693.

It can be written as a sum of positive squares in 4 ways, for example, as 1587600 + 2377764 = 1260^2 + 1542^2 .

It is a super-2 number, since 2×3965364² = 31448223304992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17202 + ... + 17430.

Almost surely, 2^3965364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567380).

3965364 is an abundant number, since it is smaller than the sum of its proper divisors (7169396).

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

3965364 is a wasteful number, since it uses less digits than its factorization.

3965364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3965364 is about 1991.3221738333. The cubic root of 3965364 is about 158.2805994900.

The spelling of 3965364 in words is "three million, nine hundred sixty-five thousand, three hundred sixty-four".