3079393680 has 320 divisors, whose sum is σ = 10861019136. Its totient is φ = 715008000.

The previous prime is 3079393679. The next prime is 3079393687. The reversal of 3079393680 is 863939703.

It is a happy number.

3079393680 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is not an unprimeable number, because it can be changed into a prime (3079393687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15631342 + ... + 15631538.

Almost surely, 2^3079393680 is an apocalyptic number.

3079393680 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 3079393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430509568).

3079393680 is an abundant number, since it is smaller than the sum of its proper divisors (7781625456).

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

3079393680 is a wasteful number, since it uses less digits than its factorization.

3079393680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 3079393680 is about 55492.2848691600. The cubic root of 3079393680 is about 1454.8617905824.

The spelling of 3079393680 in words is "three billion, seventy-nine million, three hundred ninety-three thousand, six hundred eighty".