3191604480 has 432 divisors, whose sum is σ = 11995663680. Its totient is φ = 780337152.

The previous prime is 3191604397. The next prime is 3191604511. The reversal of 3191604480 is 844061913.

3191604480 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 604 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8420931 + ... + 8421309.

It is an arithmetic number, because the mean of its divisors is an integer number (27767740).

Almost surely, 2^3191604480 is an apocalyptic number.

3191604480 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 3191604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997831840).

3191604480 is an abundant number, since it is smaller than the sum of its proper divisors (8804059200).

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

3191604480 is a wasteful number, since it uses less digits than its factorization.

3191604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3191604480 is about 56494.2871448078. The cubic root of 3191604480 is about 1472.3227474404.

The spelling of 3191604480 in words is "three billion, one hundred ninety-one million, six hundred four thousand, four hundred eighty".