3881790600 has 144 divisors (see below), whose sum is σ = 12323430000. Its totient is φ = 1010782080.

The previous prime is 3881790553. The next prime is 3881790607. The reversal of 3881790600 is 60971883.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3881790607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1107651 + ... + 1111149.

It is an arithmetic number, because the mean of its divisors is an integer number (85579375).

Almost surely, 2^3881790600 is an apocalyptic number.

3881790600 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 3881790600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161715000).

3881790600 is an abundant number, since it is smaller than the sum of its proper divisors (8441639400).

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

3881790600 is a wasteful number, since it uses less digits than its factorization.

3881790600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 3881790600 is about 62304.0175269621. The cubic root of 3881790600 is about 1571.6072901025.

The spelling of 3881790600 in words is "three billion, eight hundred eighty-one million, seven hundred ninety thousand, six hundred".