3190806432 has 480 divisors, whose sum is σ = 11262525120. Its totient is φ = 874782720.

The previous prime is 3190806383. The next prime is 3190806457. The reversal of 3190806432 is 2346080913.

3190806432 is a `hidden beast` number, since 3 + 1 + 9 + 0 + 8 + 0 + 643 + 2 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14056303 + ... + 14056529.

It is an arithmetic number, because the mean of its divisors is an integer number (23463594).

Almost surely, 2^3190806432 is an apocalyptic number.

3190806432 is a gapful number since it is divisible by the number (32) 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 3190806432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631262560).

3190806432 is an abundant number, since it is smaller than the sum of its proper divisors (8071718688).

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

3190806432 is a wasteful number, since it uses less digits than its factorization.

3190806432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3190806432 is about 56487.2236173809. The cubic root of 3190806432 is about 1472.2000210627.

The spelling of 3190806432 in words is "three billion, one hundred ninety million, eight hundred six thousand, four hundred thirty-two".