34944900 has 36 divisors (see below), whose sum is σ = 101108112. Its totient is φ = 9318560.

The previous prime is 34944863. The next prime is 34944901. The reversal of 34944900 is 944943.

It is a happy number.

It is a super-2 number, since 2×34944900² = 2442292072020000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 (34944901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57942 + ... + 58541.

Almost surely, 2^34944900 is an apocalyptic number.

34944900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34944900 is an abundant number, since it is smaller than the sum of its proper divisors (66163212).

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

34944900 is a wasteful number, since it uses less digits than its factorization.

34944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116500 (or 116493 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34944900 is about 5911.4211489286. The cubic root of 34944900 is about 326.9348877642.

The spelling of 34944900 in words is "thirty-four million, nine hundred forty-four thousand, nine hundred".