34825640256 has 672 divisors, whose sum is σ = 120781559808. Its totient is φ = 9844623360.

The previous prime is 34825640249. The next prime is 34825640257. The reversal of 34825640256 is 65204652843.

34825640256 is a `hidden beast` number, since 3 + 4 + 82 + 564 + 0 + 2 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34825640257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208536685 + ... + 208536851.

It is an arithmetic number, because the mean of its divisors is an integer number (179734464).

Almost surely, 2^34825640256 is an apocalyptic number.

34825640256 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 34825640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60390779904).

34825640256 is an abundant number, since it is smaller than the sum of its proper divisors (85955919552).

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

34825640256 is a wasteful number, since it uses less digits than its factorization.

34825640256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 34825640256 in words is "thirty-four billion, eight hundred twenty-five million, six hundred forty thousand, two hundred fifty-six".