34400073 has 8 divisors (see below), whose sum is σ = 46288000. Its totient is φ = 22722768.

The previous prime is 34400063. The next prime is 34400083. The reversal of 34400073 is 37000443.

It is an interprime number because it is at equal distance from previous prime (34400063) and next prime (34400083).

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

It is not a de Polignac number, because 34400073 - 2⁴ = 34400057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34400063) 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, 52273 + ... + 52926.

It is an arithmetic number, because the mean of its divisors is an integer number (5786000).

Almost surely, 2^34400073 is an apocalyptic number.

It is an amenable number.

34400073 is a deficient number, since it is larger than the sum of its proper divisors (11887927).

34400073 is a wasteful number, since it uses less digits than its factorization.

34400073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105311.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 34400073 is about 5865.1575426411. The cubic root of 34400073 is about 325.2268963894.

The spelling of 34400073 in words is "thirty-four million, four hundred thousand, seventy-three".