34800401 has 2 divisors, whose sum is σ = 34800402. Its totient is φ = 34800400.

The previous prime is 34800371. The next prime is 34800407. The reversal of 34800401 is 10400843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25806400 + 8994001 = 5080^2 + 2999^2 .

It is an emirp because it is prime and its reverse (10400843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34800401 - 2¹⁰ = 34799377 is a prime.

It is a super-2 number, since 2×34800401² = 2422135819521602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34800407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400200 + 17400201.

It is an arithmetic number, because the mean of its divisors is an integer number (17400201).

Almost surely, 2^34800401 is an apocalyptic number.

It is an amenable number.

34800401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34800401 is an equidigital number, since it uses as much as digits as its factorization.

34800401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 34800401 is about 5899.1864693363. The cubic root of 34800401 is about 326.4836342187.

The spelling of 34800401 in words is "thirty-four million, eight hundred thousand, four hundred one".