34142602368 has 256 divisors, whose sum is σ = 110199168000. Its totient is φ = 9148723200.

The previous prime is 34142602367. The next prime is 34142602381. The reversal of 34142602368 is 86320624143.

It is not an unprimeable number, because it can be changed into a prime (34142602367) 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, 5154963 + ... + 5161581.

It is an arithmetic number, because the mean of its divisors is an integer number (430465500).

Almost surely, 2^34142602368 is an apocalyptic number.

34142602368 is a gapful number since it is divisible by the number (38) 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 34142602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55099584000).

34142602368 is an abundant number, since it is smaller than the sum of its proper divisors (76056565632).

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

34142602368 is a wasteful number, since it uses less digits than its factorization.

34142602368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 34142602368 in words is "thirty-four billion, one hundred forty-two million, six hundred two thousand, three hundred sixty-eight".