34013152314 has 64 divisors (see below), whose sum is σ = 76032528000. Its totient is φ = 11270689920.

The previous prime is 34013152297. The next prime is 34013152331. The reversal of 34013152314 is 41325131043.

It is a happy number.

34013152314 is a `hidden beast` number, since 3 + 4 + 0 + 131 + 523 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34013152297) and next prime (34013152331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16280982 + ... + 16283070.

It is an arithmetic number, because the mean of its divisors is an integer number (1188008250).

Almost surely, 2^34013152314 is an apocalyptic number.

34013152314 is an abundant number, since it is smaller than the sum of its proper divisors (42019375686).

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

34013152314 is a wasteful number, since it uses less digits than its factorization.

34013152314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34013152314 its reverse (41325131043), we get a palindrome (75338283357).

The spelling of 34013152314 in words is "thirty-four billion, thirteen million, one hundred fifty-two thousand, three hundred fourteen".