34421257368 has 128 divisors (see below), whose sum is σ = 96672576000. Its totient is φ = 11347205760.

The previous prime is 34421257349. The next prime is 34421257369. The reversal of 34421257368 is 86375212443.

34421257368 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 12 + 573 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421257369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17115483 + ... + 17117493.

It is an arithmetic number, because the mean of its divisors is an integer number (755254500).

Almost surely, 2^34421257368 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 34421257368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48336288000).

34421257368 is an abundant number, since it is smaller than the sum of its proper divisors (62251318632).

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

34421257368 is a wasteful number, since it uses less digits than its factorization.

34421257368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2852 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 34421257368 in words is "thirty-four billion, four hundred twenty-one million, two hundred fifty-seven thousand, three hundred sixty-eight".