34894100 has 36 divisors (see below), whose sum is σ = 76195644. Its totient is φ = 13870080.

The previous prime is 34894099. The next prime is 34894103. The reversal of 34894100 is 149843.

It can be written as a sum of positive squares in 6 ways, for example, as 2835856 + 32058244 = 1684^2 + 5662^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34894103) 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, 16292 + ... + 18308.

Almost surely, 2^34894100 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 34894100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38097822).

34894100 is an abundant number, since it is smaller than the sum of its proper divisors (41301544).

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

34894100 is a wasteful number, since it uses less digits than its factorization.

34894100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 34894100 is about 5907.1228191058. The cubic root of 34894100 is about 326.7763873181.

The spelling of 34894100 in words is "thirty-four million, eight hundred ninety-four thousand, one hundred".