3465624832 has 72 divisors (see below), whose sum is σ = 7128192456. Its totient is φ = 1680408576.

The previous prime is 3465624821. The next prime is 3465624847. The reversal of 3465624832 is 2384265643.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 455566336 + 3010058496 = 21344^2 + 54864^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5616588 + ... + 5617204.

It is an arithmetic number, because the mean of its divisors is an integer number (99002673).

Almost surely, 2^3465624832 is an apocalyptic number.

3465624832 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 3465624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564096228).

3465624832 is an abundant number, since it is smaller than the sum of its proper divisors (3662567624).

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

3465624832 is an equidigital number, since it uses as much as digits as its factorization.

3465624832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1249 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The square root of 3465624832 is about 58869.5577696996. The cubic root of 3465624832 is about 1513.3074923406.

The spelling of 3465624832 in words is "three billion, four hundred sixty-five million, six hundred twenty-four thousand, eight hundred thirty-two".