3896900 has 72 divisors (see below), whose sum is σ = 10207680. Its totient is φ = 1261440.

The previous prime is 3896887. The next prime is 3896903. The reversal of 3896900 is 96983.

It is a super-2 number, since 2×3896900² = 30371659220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3896903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13154 + ... + 13446.

Almost surely, 2^3896900 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 3896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103840).

3896900 is an abundant number, since it is smaller than the sum of its proper divisors (6310780).

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

3896900 is a wasteful number, since it uses less digits than its factorization.

3896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 3896900 is about 1974.0567367733. The cubic root of 3896900 is about 157.3643747204.

The spelling of 3896900 in words is "three million, eight hundred ninety-six thousand, nine hundred".