3679646432 has 192 divisors, whose sum is σ = 9475522560. Its totient is φ = 1364774400.

The previous prime is 3679646389. The next prime is 3679646441. The reversal of 3679646432 is 2346469763.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5117369 + ... + 5118087.

It is an arithmetic number, because the mean of its divisors is an integer number (49351680).

Almost surely, 2^3679646432 is an apocalyptic number.

3679646432 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 3679646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737761280).

3679646432 is an abundant number, since it is smaller than the sum of its proper divisors (5795876128).

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

3679646432 is a wasteful number, since it uses less digits than its factorization.

3679646432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 837 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 50.

The square root of 3679646432 is about 60660.0892844711. The cubic root of 3679646432 is about 1543.8390795805.

The spelling of 3679646432 in words is "three billion, six hundred seventy-nine million, six hundred forty-six thousand, four hundred thirty-two".