3791090688 has 528 divisors, whose sum is σ = 13381681152. Its totient is φ = 932659200.

The previous prime is 3791090683. The next prime is 3791090717. The reversal of 3791090688 is 8860901973.

It is a tau number, because it is divible by the number of its divisors (528).

It is a self number, because there is not a number n which added to its sum of digits gives 3791090688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791090683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80661481 + ... + 80661527.

Almost surely, 2^3791090688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3791090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690840576).

3791090688 is an abundant number, since it is smaller than the sum of its proper divisors (9590590464).

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

3791090688 is a wasteful number, since it uses less digits than its factorization.

3791090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 3791090688 is about 61571.8335604845. The cubic root of 3791090688 is about 1559.2702438202.

The spelling of 3791090688 in words is "three billion, seven hundred ninety-one million, ninety thousand, six hundred eighty-eight".