3404034000780 has 192 divisors, whose sum is σ = 11229862533120. Its totient is φ = 754156763136.

The previous prime is 3404034000671. The next prime is 3404034000781. The reversal of 3404034000780 is 870004304043.

It is not an unprimeable number, because it can be changed into a prime (3404034000781) 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, 3670576 + ... + 4503464.

It is an arithmetic number, because the mean of its divisors is an integer number (58488867360).

Almost surely, 2^{3404034000780} is an apocalyptic number.

3404034000780 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 3404034000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614931266560).

3404034000780 is an abundant number, since it is smaller than the sum of its proper divisors (7825828532340).

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

3404034000780 is a wasteful number, since it uses less digits than its factorization.

3404034000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833208 (or 833206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 3404034000780 in words is "three trillion, four hundred four billion, thirty-four million, seven hundred eighty", and thus it is an aban number.