34855920 has 240 divisors, whose sum is σ = 133241472. Its totient is φ = 8398080.

The previous prime is 34855913. The next prime is 34855939. The reversal of 34855920 is 2955843.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213759 + ... + 213921.

Almost surely, 2^34855920 is an apocalyptic number.

34855920 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 34855920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66620736).

34855920 is an abundant number, since it is smaller than the sum of its proper divisors (98385552).

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

34855920 is a wasteful number, since it uses less digits than its factorization.

34855920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 34855920 is about 5903.8902428822. The cubic root of 34855920 is about 326.6571610914.

The spelling of 34855920 in words is "thirty-four million, eight hundred fifty-five thousand, nine hundred twenty".