3791142090 has 128 divisors (see below), whose sum is σ = 10284952320. Its totient is φ = 993613824.

The previous prime is 3791142077. The next prime is 3791142109. The reversal of 3791142090 is 902411973.

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 63 ways as a sum of consecutive naturals, for example, 4179417 + ... + 4180323.

It is an arithmetic number, because the mean of its divisors is an integer number (80351190).

Almost surely, 2^3791142090 is an apocalyptic number.

3791142090 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 3791142090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142476160).

3791142090 is an abundant number, since it is smaller than the sum of its proper divisors (6493810230).

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

3791142090 is a wasteful number, since it uses less digits than its factorization.

3791142090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3791142090 is about 61572.2509739574. The cubic root of 3791142090 is about 1559.2772909783.

The spelling of 3791142090 in words is "three billion, seven hundred ninety-one million, one hundred forty-two thousand, ninety".