3073406880 has 192 divisors, whose sum is σ = 10320307200. Its totient is φ = 766132224.

The previous prime is 3073406873. The next prime is 3073406911. The reversal of 3073406880 is 886043703.

3073406880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279921 + ... + 1282319.

It is an arithmetic number, because the mean of its divisors is an integer number (53751600).

Almost surely, 2^3073406880 is an apocalyptic number.

3073406880 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 3073406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160153600).

3073406880 is an abundant number, since it is smaller than the sum of its proper divisors (7246900320).

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

3073406880 is a wasteful number, since it uses less digits than its factorization.

3073406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3073406880 is about 55438.3159917399. The cubic root of 3073406880 is about 1453.9183562499.

The spelling of 3073406880 in words is "three billion, seventy-three million, four hundred six thousand, eight hundred eighty".