3245616432 has 160 divisors (see below), whose sum is σ = 9802944000. Its totient is φ = 1026627840.

The previous prime is 3245616401. The next prime is 3245616463. The reversal of 3245616432 is 2346165423.

3245616432 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 6 + 1 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3245616401) and next prime (3245616463).

It is a super-3 number, since 3×3245616432³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 736957 + ... + 741347.

It is an arithmetic number, because the mean of its divisors is an integer number (61268400).

Almost surely, 2^3245616432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245616432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901472000).

3245616432 is an abundant number, since it is smaller than the sum of its proper divisors (6557327568).

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

3245616432 is a wasteful number, since it uses less digits than its factorization.

3245616432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4484 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3245616432 is about 56970.3118474877. The cubic root of 3245616432 is about 1480.5817703091.

The spelling of 3245616432 in words is "three billion, two hundred forty-five million, six hundred sixteen thousand, four hundred thirty-two".