3679480728 has 384 divisors, whose sum is σ = 13183672320. Its totient is φ = 933586560.

The previous prime is 3679480691. The next prime is 3679480751. The reversal of 3679480728 is 8270849763.

3679480728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7035075 + ... + 7035597.

It is an arithmetic number, because the mean of its divisors is an integer number (34332480).

Almost surely, 2^3679480728 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 3679480728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591836160).

3679480728 is an abundant number, since it is smaller than the sum of its proper divisors (9504191592).

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

3679480728 is a wasteful number, since it uses less digits than its factorization.

3679480728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3679480728 is about 60658.7234287040. The cubic root of 3679480728 is about 1543.8159048765.

The spelling of 3679480728 in words is "three billion, six hundred seventy-nine million, four hundred eighty thousand, seven hundred twenty-eight".