3049760802816 has 2400 divisors, whose sum is σ = 12435418195200. Its totient is φ = 737418608640.

The previous prime is 3049760802799. The next prime is 3049760802833. The reversal of 3049760802816 is 6182080679403.

3049760802816 is a `hidden beast` number, since 3 + 0 + 4 + 9 + 7 + 608 + 0 + 28 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3049760802799) and next prime (3049760802833).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 98379380721 + ... + 98379380751.

It is an arithmetic number, because the mean of its divisors is an integer number (5181424248).

Almost surely, 2^{3049760802816} is an apocalyptic number.

3049760802816 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 3049760802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217709097600).

3049760802816 is an abundant number, since it is smaller than the sum of its proper divisors (9385657392384).

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

3049760802816 is an equidigital number, since it uses as much as digits as its factorization.

3049760802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3049760802816 in words is "three trillion, forty-nine billion, seven hundred sixty million, eight hundred two thousand, eight hundred sixteen".