3813816900 has 72 divisors (see below), whose sum is σ = 11148487840. Its totient is φ = 1006525440.

The previous prime is 3813816889. The next prime is 3813816911. The reversal of 3813816900 is 96183183.

It is an interprime number because it is at equal distance from previous prime (3813816889) and next prime (3813816911).

It is a super-2 number, since 2×3813816900² = 29090398693451220000, 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, 36430 + ... + 94629.

Almost surely, 2^3813816900 is an apocalyptic number.

3813816900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3813816900 is an abundant number, since it is smaller than the sum of its proper divisors (7334670940).

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

3813816900 is a wasteful number, since it uses less digits than its factorization.

3813816900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131173 (or 131166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3813816900 is about 61756.1081999182. The cubic root of 3813816900 is about 1562.3797914989.

The spelling of 3813816900 in words is "three billion, eight hundred thirteen million, eight hundred sixteen thousand, nine hundred".