3862800900 has 216 divisors, whose sum is σ = 14350539840. Its totient is φ = 882887040.

The previous prime is 3862800883. The next prime is 3862800919. The reversal of 3862800900 is 90082683.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158746 + ... + 181454.

Almost surely, 2^3862800900 is an apocalyptic number.

3862800900 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 3862800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175269920).

3862800900 is an abundant number, since it is smaller than the sum of its proper divisors (10487738940).

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

3862800900 is a wasteful number, since it uses less digits than its factorization.

3862800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22745 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3862800900 is about 62151.4352207574. The cubic root of 3862800900 is about 1569.0403347227.

The spelling of 3862800900 in words is "three billion, eight hundred sixty-two million, eight hundred thousand, nine hundred".