3319045632 has 480 divisors, whose sum is σ = 11772913152. Its totient is φ = 913711104.

The previous prime is 3319045627. The next prime is 3319045637. The reversal of 3319045632 is 2365409133.

It is a happy number.

3319045632 is a `hidden beast` number, since 3 + 3 + 1 + 90 + 4 + 563 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3319045627) and next prime (3319045637).

It is a super-2 number, since 2×3319045632² = 22032127814596558848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3319045637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32223693 + ... + 32223795.

Almost surely, 2^3319045632 is an apocalyptic number.

3319045632 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 3319045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886456576).

3319045632 is an abundant number, since it is smaller than the sum of its proper divisors (8453867520).

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

3319045632 is an equidigital number, since it uses as much as digits as its factorization.

3319045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3319045632 is about 57611.1589190844. The cubic root of 3319045632 is about 1491.6642263948.

The spelling of 3319045632 in words is "three billion, three hundred nineteen million, forty-five thousand, six hundred thirty-two".