34345524938256 has 240 divisors, whose sum is σ = 116330213211264. Its totient is φ = 9234404315136.

The previous prime is 34345524938189. The next prime is 34345524938317. The reversal of 34345524938256 is 65283942554343.

34345524938256 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 5 + 5 + 249 + 382 + 5 + 6 = 666.

It is a super-2 number, since 2×34345524938256² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 34345524938193 and 34345524938202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118384831 + ... + 118674593.

Almost surely, 2^{34345524938256} is an apocalyptic number.

34345524938256 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 34345524938256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58165106605632).

34345524938256 is an abundant number, since it is smaller than the sum of its proper divisors (81984688273008).

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

34345524938256 is a wasteful number, since it uses less digits than its factorization.

34345524938256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296718 (or 296709 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 63.

The spelling of 34345524938256 in words is "thirty-four trillion, three hundred forty-five billion, five hundred twenty-four million, nine hundred thirty-eight thousand, two hundred fifty-six".