34014541408 has 48 divisors (see below), whose sum is σ = 68002460064. Its totient is φ = 16744734720.

The previous prime is 34014541403. The next prime is 34014541411. The reversal of 34014541408 is 80414541043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014541403) 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, 1710016 + ... + 1729792.

It is an arithmetic number, because the mean of its divisors is an integer number (1416717918).

Almost surely, 2^34014541408 is an apocalyptic number.

It is an amenable number.

34014541408 is a deficient number, since it is larger than the sum of its proper divisors (33987918656).

34014541408 is a wasteful number, since it uses less digits than its factorization.

34014541408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20615 (or 20607 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 34014541408 in words is "thirty-four billion, fourteen million, five hundred forty-one thousand, four hundred eight".