34256480544 has 288 divisors, whose sum is σ = 115907500800. Its totient is φ = 9460039680.

The previous prime is 34256480539. The next prime is 34256480549. The reversal of 34256480544 is 44508465243.

34256480544 is a `hidden beast` number, since 3 + 4 + 2 + 564 + 80 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34256480539) and next prime (34256480549).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34256480544² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34256480544.

It is not an unprimeable number, because it can be changed into a prime (34256480549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3248272 + ... + 3258800.

It is an arithmetic number, because the mean of its divisors is an integer number (402456600).

Almost surely, 2^34256480544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256480544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953750400).

34256480544 is an abundant number, since it is smaller than the sum of its proper divisors (81651020256).

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

34256480544 is a wasteful number, since it uses less digits than its factorization.

34256480544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 34256480544 in words is "thirty-four billion, two hundred fifty-six million, four hundred eighty thousand, five hundred forty-four".