34400107 has 12 divisors (see below), whose sum is σ = 40994856. Its totient is φ = 28764960.

The previous prime is 34400101. The next prime is 34400117. The reversal of 34400107 is 70100443.

It is a happy number.

It is not a de Polignac number, because 34400107 - 2¹⁹ = 33875819 is a prime.

It is a super-2 number, since 2×34400107² = 2366734723222898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34400101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6553 + ... + 10570.

It is an arithmetic number, because the mean of its divisors is an integer number (3416238).

Almost surely, 2^34400107 is an apocalyptic number.

34400107 is a deficient number, since it is larger than the sum of its proper divisors (6594749).

34400107 is a wasteful number, since it uses less digits than its factorization.

34400107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178 (or 17171 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 34400107 is about 5865.1604411133. The cubic root of 34400107 is about 325.2270035376.

Adding to 34400107 its product of nonzero digits (336), we get a palindrome (34400443).

The spelling of 34400107 in words is "thirty-four million, four hundred thousand, one hundred seven".