3004464603816 has 384 divisors, whose sum is σ = 9131078678400. Its totient is φ = 914881443840.

The previous prime is 3004464603773. The next prime is 3004464603821. The reversal of 3004464603816 is 6183064644003.

It is a happy number.

3004464603816 is a `hidden beast` number, since 30 + 0 + 4 + 4 + 6 + 4 + 603 + 8 + 1 + 6 = 666.

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, 2105440495 + ... + 2105441921.

It is an arithmetic number, because the mean of its divisors is an integer number (23778850725).

Almost surely, 2^{3004464603816} is an apocalyptic number.

3004464603816 is a gapful number since it is divisible by the number (36) 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 3004464603816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565539339200).

3004464603816 is an abundant number, since it is smaller than the sum of its proper divisors (6126614074584).

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

3004464603816 is a wasteful number, since it uses less digits than its factorization.

3004464603816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3004464603816 in words is "three trillion, four billion, four hundred sixty-four million, six hundred three thousand, eight hundred sixteen".