34381506313397 has 24 divisors (see below), whose sum is σ = 37172944533312. Its totient is φ = 31776135739200.

The previous prime is 34381506313391. The next prime is 34381506313417. The reversal of 34381506313397 is 79331360518343.

It is not a de Polignac number, because 34381506313397 - 2²² = 34381502119093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381506313391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526749758 + ... + 526815024.

It is an arithmetic number, because the mean of its divisors is an integer number (1548872688888).

Almost surely, 2^{34381506313397} is an apocalyptic number.

It is an amenable number.

34381506313397 is a deficient number, since it is larger than the sum of its proper divisors (2791438219915).

34381506313397 is a wasteful number, since it uses less digits than its factorization.

34381506313397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100937 (or 100918 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 56.

The spelling of 34381506313397 in words is "thirty-four trillion, three hundred eighty-one billion, five hundred six million, three hundred thirteen thousand, three hundred ninety-seven".