34314400379 has 8 divisors (see below), whose sum is σ = 39219295968. Its totient is φ = 29410214400.

The previous prime is 34314400369. The next prime is 34314400391. The reversal of 34314400379 is 97300441343.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-34314400379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34314400369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69392 + ... + 271005.

It is an arithmetic number, because the mean of its divisors is an integer number (4902411996).

Almost surely, 2^34314400379 is an apocalyptic number.

34314400379 is a deficient number, since it is larger than the sum of its proper divisors (4904895589).

34314400379 is a wasteful number, since it uses less digits than its factorization.

34314400379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354805.

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 34314400379 in words is "thirty-four billion, three hundred fourteen million, four hundred thousand, three hundred seventy-nine".