3434007920256 has 384 divisors, whose sum is σ = 10326214800000. Its totient is φ = 1123468738560.

The previous prime is 3434007920237. The next prime is 3434007920279. The reversal of 3434007920256 is 6520297004343.

3434007920256 is a `hidden beast` number, since 3 + 434 + 0 + 0 + 7 + 9 + 202 + 5 + 6 = 666.

3434007920256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7648124320 + ... + 7648124768.

It is an arithmetic number, because the mean of its divisors is an integer number (26891184375).

Almost surely, 2^{3434007920256} is an apocalyptic number.

3434007920256 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 3434007920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163107400000).

3434007920256 is an abundant number, since it is smaller than the sum of its proper divisors (6892206879744).

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

3434007920256 is an equidigital number, since it uses as much as digits as its factorization.

3434007920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3434007920256 in words is "three trillion, four hundred thirty-four billion, seven million, nine hundred twenty thousand, two hundred fifty-six".