3679870320 has 480 divisors, whose sum is σ = 15480616320. Its totient is φ = 763822080.

The previous prime is 3679870301. The next prime is 3679870331. The reversal of 3679870320 is 230789763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2483980 + ... + 2485460.

It is an arithmetic number, because the mean of its divisors is an integer number (32251284).

Almost surely, 2^3679870320 is an apocalyptic number.

3679870320 is a gapful number since it is divisible by the number (30) 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 3679870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740308160).

3679870320 is an abundant number, since it is smaller than the sum of its proper divisors (11800746000).

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

3679870320 is a wasteful number, since it uses less digits than its factorization.

3679870320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3679870320 is about 60661.9346872485. The cubic root of 3679870320 is about 1543.8703905629.

The spelling of 3679870320 in words is "three billion, six hundred seventy-nine million, eight hundred seventy thousand, three hundred twenty".