3936900 has 72 divisors (see below), whose sum is σ = 12436704. Its totient is φ = 953600.

The previous prime is 3936899. The next prime is 3936913. The reversal of 3936900 is 96393.

It is a super-2 number, since 2×3936900² = 30998363220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2704 + ... + 3896.

It is an arithmetic number, because the mean of its divisors is an integer number (172732).

Almost surely, 2^3936900 is an apocalyptic number.

3936900 is a gapful number since it is divisible by the number (30) 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 3936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218352).

3936900 is an abundant number, since it is smaller than the sum of its proper divisors (8499804).

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

3936900 is a wasteful number, since it uses less digits than its factorization.

3936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 3936900 is about 1984.1622917493. The cubic root of 3936900 is about 157.9009687599.

The spelling of 3936900 in words is "three million, nine hundred thirty-six thousand, nine hundred".