3836900 has 72 divisors (see below), whose sum is σ = 9202536. Its totient is φ = 1382400.

The previous prime is 3836893. The next prime is 3836927. The reversal of 3836900 is 96383.

3836900 = T₁₄₇ + T₁₄₈ + ... + T₂₉₆.

It can be written as a sum of positive squares in 12 ways, for example, as 760384 + 3076516 = 872^2 + 1754^2 .

It is a super-2 number, since 2×3836900² = 29443603220000, which contains 22 as substring.

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, 62870 + ... + 62930.

It is an arithmetic number, because the mean of its divisors is an integer number (127813).

Almost surely, 2^3836900 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 3836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601268).

3836900 is an abundant number, since it is smaller than the sum of its proper divisors (5365636).

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

3836900 is a wasteful number, since it uses less digits than its factorization.

3836900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 3836900 is about 1958.8006534612. The cubic root of 3836900 is about 156.5525551018.

The spelling of 3836900 in words is "three million, eight hundred thirty-six thousand, nine hundred".