3872133090 has 96 divisors (see below), whose sum is σ = 11536836480. Its totient is φ = 882669312.

The previous prime is 3872133059. The next prime is 3872133103. The reversal of 3872133090 is 903312783.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230662 + ... + 246878.

It is an arithmetic number, because the mean of its divisors is an integer number (120175380).

Almost surely, 2^3872133090 is an apocalyptic number.

3872133090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872133090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768418240).

3872133090 is an abundant number, since it is smaller than the sum of its proper divisors (7664703390).

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

3872133090 is a wasteful number, since it uses less digits than its factorization.

3872133090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16616 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3872133090 is about 62226.4661538802. The cubic root of 3872133090 is about 1570.3028733976.

The spelling of 3872133090 in words is "three billion, eight hundred seventy-two million, one hundred thirty-three thousand, ninety".