3791098080 has 960 divisors, whose sum is σ = 17387758080. Its totient is φ = 754790400.

The previous prime is 3791098079. The next prime is 3791098081. The reversal of 3791098080 is 808901973.

3791098080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3791098079) and next prime (3791098081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791098081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28939615 + ... + 28939745.

It is an arithmetic number, because the mean of its divisors is an integer number (18112248).

Almost surely, 2^3791098080 is an apocalyptic number.

3791098080 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 3791098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693879040).

3791098080 is an abundant number, since it is smaller than the sum of its proper divisors (13596660000).

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

3791098080 is a wasteful number, since it uses less digits than its factorization.

3791098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 3791098080 is about 61571.8935879026. The cubic root of 3791098080 is about 1559.2712572592.

The spelling of 3791098080 in words is "three billion, seven hundred ninety-one million, ninety-eight thousand, eighty".