34896900 has 72 divisors (see below), whose sum is σ = 102180960. Its totient is φ = 9194240.

The previous prime is 34896899. The next prime is 34896913. The reversal of 34896900 is 969843.

It is a super-2 number, since 2×34896900² = 2435587259220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26047 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (1419180).

Almost surely, 2^34896900 is an apocalyptic number.

34896900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51090480).

34896900 is an abundant number, since it is smaller than the sum of its proper divisors (67284060).

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

34896900 is a wasteful number, since it uses less digits than its factorization.

34896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 34896900 is about 5907.3598163647. The cubic root of 34896900 is about 326.7851275675.

The spelling of 34896900 in words is "thirty-four million, eight hundred ninety-six thousand, nine hundred".