3691424880 has 1280 divisors, whose sum is σ = 17098905600. Its totient is φ = 716636160.

The previous prime is 3691424879. The next prime is 3691424881. The reversal of 3691424880 is 884241963.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3691424879) and next prime (3691424881).

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 (3691424881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99768222 + ... + 99768258.

It is an arithmetic number, because the mean of its divisors is an integer number (13358520).

Almost surely, 2^3691424880 is an apocalyptic number.

3691424880 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 3691424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549452800).

3691424880 is an abundant number, since it is smaller than the sum of its proper divisors (13407480720).

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

3691424880 is a wasteful number, since it uses less digits than its factorization.

3691424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3691424880 is about 60757.0973631888. The cubic root of 3691424880 is about 1545.4845873661.

The spelling of 3691424880 in words is "three billion, six hundred ninety-one million, four hundred twenty-four thousand, eight hundred eighty".