3873158100 has 288 divisors, whose sum is σ = 14378246400. Its totient is φ = 876096000.

The previous prime is 3873158089. The next prime is 3873158101. The reversal of 3873158100 is 18513783.

3873158100 is a `hidden beast` number, since 3 + 8 + 73 + 1 + 581 + 0 + 0 = 666.

It is a super-2 number, since 2×3873158100² = 30002707335191220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873158101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1907886 + ... + 1909914.

Almost surely, 2^3873158100 is an apocalyptic number.

3873158100 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 3873158100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189123200).

3873158100 is an abundant number, since it is smaller than the sum of its proper divisors (10505088300).

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

3873158100 is a wasteful number, since it uses less digits than its factorization.

3873158100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 3873158100 is about 62234.7017346432. The cubic root of 3873158100 is about 1570.4414218501.

The spelling of 3873158100 in words is "three billion, eight hundred seventy-three million, one hundred fifty-eight thousand, one hundred".