34314304401 has 64 divisors (see below), whose sum is σ = 55994803200. Its totient is φ = 20636356608.

The previous prime is 34314304391. The next prime is 34314304403. The reversal of 34314304401 is 10440341343.

34314304401 is a `hidden beast` number, since 3 + 4 + 314 + 304 + 40 + 1 = 666.

It is not a de Polignac number, because 34314304401 - 2¹¹ = 34314302353 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34314304403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16116505 + ... + 16118633.

It is an arithmetic number, because the mean of its divisors is an integer number (874918800).

Almost surely, 2^34314304401 is an apocalyptic number.

It is an amenable number.

34314304401 is a deficient number, since it is larger than the sum of its proper divisors (21680498799).

34314304401 is a wasteful number, since it uses less digits than its factorization.

34314304401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34314304401 its reverse (10440341343), we get a palindrome (44754645744).

The spelling of 34314304401 in words is "thirty-four billion, three hundred fourteen million, three hundred four thousand, four hundred one".