3679012480 has 256 divisors, whose sum is σ = 10518076800. Its totient is φ = 1212825600.

The previous prime is 3679012459. The next prime is 3679012481. The reversal of 3679012480 is 842109763.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3679012481) 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 31 ways as a sum of consecutive naturals, for example, 5582391 + ... + 5583049.

Almost surely, 2^3679012480 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 3679012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259038400).

3679012480 is an abundant number, since it is smaller than the sum of its proper divisors (6839064320).

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

3679012480 is a wasteful number, since it uses less digits than its factorization.

3679012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 3679012480 is about 60654.8636137285. The cubic root of 3679012480 is about 1543.7504138077.

The spelling of 3679012480 in words is "three billion, six hundred seventy-nine million, twelve thousand, four hundred eighty".