34800381 has 64 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 17107200.

The previous prime is 34800371. The next prime is 34800401. The reversal of 34800381 is 18300843.

It is not a de Polignac number, because 34800381 - 2⁷ = 34800253 is a prime.

It is a super-2 number, since 2×34800381² = 2422133035490322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39061 + ... + 39941.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^34800381 is an apocalyptic number.

It is an amenable number.

34800381 is a deficient number, since it is larger than the sum of its proper divisors (32937219).

34800381 is a wasteful number, since it uses less digits than its factorization.

34800381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34800381 is about 5899.1847741870. The cubic root of 34800381 is about 326.4835716746.

The spelling of 34800381 in words is "thirty-four million, eight hundred thousand, three hundred eighty-one".