3960900 has 108 divisors (see below), whose sum is σ = 12954032. Its totient is φ = 1049760.

The previous prime is 3960893. The next prime is 3960937. The reversal of 3960900 is 90693.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24219 + ... + 24381.

Almost surely, 2^3960900 is an apocalyptic number.

3960900 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 3960900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477016).

3960900 is an abundant number, since it is smaller than the sum of its proper divisors (8993132).

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

3960900 is a wasteful number, since it uses less digits than its factorization.

3960900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3960900 is about 1990.2009948746. The cubic root of 3960900 is about 158.2211825067.

The spelling of 3960900 in words is "three million, nine hundred sixty thousand, nine hundred".