34849920 has 128 divisors (see below), whose sum is σ = 127002240. Its totient is φ = 7962624.

The previous prime is 34849883. The next prime is 34849931. The reversal of 34849920 is 2994843.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12144 + ... + 14736.

It is an arithmetic number, because the mean of its divisors is an integer number (992205).

Almost surely, 2^34849920 is an apocalyptic number.

34849920 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 34849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63501120).

34849920 is an abundant number, since it is smaller than the sum of its proper divisors (92152320).

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

34849920 is a wasteful number, since it uses less digits than its factorization.

34849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34849920 is about 5903.3820814852. The cubic root of 34849920 is about 326.6384167342.

The spelling of 34849920 in words is "thirty-four million, eight hundred forty-nine thousand, nine hundred twenty".