34350399697248 has 144 divisors (see below), whose sum is σ = 101305307638080. Its totient is φ = 11449745041536.

The previous prime is 34350399697193. The next prime is 34350399697309. The reversal of 34350399697248 is 84279699305343.

34350399697248 is a `hidden beast` number, since 3 + 4 + 3 + 503 + 9 + 9 + 6 + 9 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313994623 + ... + 314104001.

It is an arithmetic number, because the mean of its divisors is an integer number (703509080820).

Almost surely, 2^{34350399697248} is an apocalyptic number.

It is an amenable number.

34350399697248 is an abundant number, since it is smaller than the sum of its proper divisors (66954907940832).

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

34350399697248 is a wasteful number, since it uses less digits than its factorization.

34350399697248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149791 (or 149771 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 34350399697248 in words is "thirty-four trillion, three hundred fifty billion, three hundred ninety-nine million, six hundred ninety-seven thousand, two hundred forty-eight".