3965200 has 60 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 1513600.

The previous prime is 3965197. The next prime is 3965219. The reversal of 3965200 is 25693.

It is a super-2 number, since 2×3965200² = 31445622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 8985 + ... + 9415.

Almost surely, 2^3965200 is an apocalyptic number.

3965200 is the 1150-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

3965200 is an abundant number, since it is smaller than the sum of its proper divisors (5998448).

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

3965200 is a wasteful number, since it uses less digits than its factorization.

3965200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 3965200 is about 1991.2809947368. The cubic root of 3965200 is about 158.2784173973.

The spelling of 3965200 in words is "three million, nine hundred sixty-five thousand, two hundred".