34800641 has 8 divisors (see below), whose sum is σ = 35170344. Its totient is φ = 34433280.

The previous prime is 34800637. The next prime is 34800659. The reversal of 34800641 is 14600843.

It can be written as a sum of positive squares in 4 ways, for example, as 29376400 + 5424241 = 5420^2 + 2329^2 .

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 34800641 - 2² = 34800637 is a prime.

It is a super-2 number, since 2×34800641² = 2422169228021762, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34800641.

It is not an unprimeable number, because it can be changed into a prime (34800611) 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, 47111 + ... + 47843.

It is an arithmetic number, because the mean of its divisors is an integer number (4396293).

Almost surely, 2^34800641 is an apocalyptic number.

It is an amenable number.

34800641 is a deficient number, since it is larger than the sum of its proper divisors (369703).

34800641 is a wasteful number, since it uses less digits than its factorization.

34800641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 34800641 is about 5899.2068110891. The cubic root of 34800641 is about 326.4843847454.

The spelling of 34800641 in words is "thirty-four million, eight hundred thousand, six hundred forty-one".