3002379808320 has 896 divisors, whose sum is σ = 11665201236480. Its totient is φ = 723855605760.

The previous prime is 3002379808279. The next prime is 3002379808343. The reversal of 3002379808320 is 238089732003.

It is a happy number.

3002379808320 is a `hidden beast` number, since 3 + 0 + 0 + 237 + 98 + 0 + 8 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385262344 + ... + 385270136.

Almost surely, 2^{3002379808320} is an apocalyptic number.

3002379808320 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 3002379808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832600618240).

3002379808320 is an abundant number, since it is smaller than the sum of its proper divisors (8662821428160).

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

3002379808320 is a wasteful number, since it uses less digits than its factorization.

3002379808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3002379808320 in words is "three trillion, two billion, three hundred seventy-nine million, eight hundred eight thousand, three hundred twenty".