34256420352 has 720 divisors, whose sum is σ = 127011620736. Its totient is φ = 8698060800.

The previous prime is 34256420351. The next prime is 34256420353. The reversal of 34256420352 is 25302465243.

34256420352 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 642 + 0 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34256420351) and next prime (34256420353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34256420351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261499327 + ... + 261499457.

Almost surely, 2^34256420352 is an apocalyptic number.

34256420352 is a gapful number since it is divisible by the number (32) 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 34256420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63505810368).

34256420352 is an abundant number, since it is smaller than the sum of its proper divisors (92755200384).

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

34256420352 is a wasteful number, since it uses less digits than its factorization.

34256420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 34256420352 its reverse (25302465243), we get a palindrome (59558885595).

The spelling of 34256420352 in words is "thirty-four billion, two hundred fifty-six million, four hundred twenty thousand, three hundred fifty-two".