34400993 has 8 divisors (see below), whose sum is σ = 37816416. Its totient is φ = 31033600.

The previous prime is 34400981. The next prime is 34400999. The reversal of 34400993 is 39900443.

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

It is a cyclic number.

It is not a de Polignac number, because 34400993 - 2¹⁸ = 34138849 is a prime.

It is a super-3 number, since 3×34400993³ (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34400999) 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, 10496 + ... + 13377.

It is an arithmetic number, because the mean of its divisors is an integer number (4727052).

Almost surely, 2^34400993 is an apocalyptic number.

It is an amenable number.

34400993 is a deficient number, since it is larger than the sum of its proper divisors (3415423).

34400993 is a wasteful number, since it uses less digits than its factorization.

34400993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24015.

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 34400993 is about 5865.2359713826. The cubic root of 34400993 is about 325.2297956670.

The spelling of 34400993 in words is "thirty-four million, four hundred thousand, nine hundred ninety-three".