3079680000 has 260 divisors, whose sum is σ = 10286650968. Its totient is φ = 819200000.

The previous prime is 3079679983. The next prime is 3079680011. The reversal of 3079680000 is 869703.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7679800 + ... + 7680200.

Almost surely, 2^3079680000 is an apocalyptic number.

3079680000 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 3079680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143325484).

3079680000 is an abundant number, since it is smaller than the sum of its proper divisors (7206970968).

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

3079680000 is an frugal number, since it uses more digits than its factorization.

3079680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3079680000 is about 55494.8646272788. The cubic root of 3079680000 is about 1454.9068798826.

The spelling of 3079680000 in words is "three billion, seventy-nine million, six hundred eighty thousand".