34793900 has 72 divisors (see below), whose sum is σ = 81151056. Its totient is φ = 12902400.

The previous prime is 34793887. The next prime is 34793903. The reversal of 34793900 is 939743.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34793903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164795 + ... + 165005.

It is an arithmetic number, because the mean of its divisors is an integer number (1127098).

Almost surely, 2^34793900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34793900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40575528).

34793900 is an abundant number, since it is smaller than the sum of its proper divisors (46357156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34793900 is a wasteful number, since it uses less digits than its factorization.

34793900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 34793900 is about 5898.6354354206. The cubic root of 34793900 is about 326.4633030134.

The spelling of 34793900 in words is "thirty-four million, seven hundred ninety-three thousand, nine hundred".