34842354432 has 144 divisors (see below), whose sum is σ = 97840229760. Its totient is φ = 10977140736.

The previous prime is 34842354431. The next prime is 34842354433. The reversal of 34842354432 is 23445324843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34842354431) and next prime (34842354433).

It is a super-2 number, since 2×34842354432² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34842354431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6811908 + ... + 6817020.

It is an arithmetic number, because the mean of its divisors is an integer number (679446040).

Almost surely, 2^34842354432 is an apocalyptic number.

34842354432 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 34842354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48920114880).

34842354432 is an abundant number, since it is smaller than the sum of its proper divisors (62997875328).

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

34842354432 is a wasteful number, since it uses less digits than its factorization.

34842354432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5604 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

The spelling of 34842354432 in words is "thirty-four billion, eight hundred forty-two million, three hundred fifty-four thousand, four hundred thirty-two".