34845120 has 224 divisors, whose sum is σ = 127406400. Its totient is φ = 8957952.

The previous prime is 34845113. The next prime is 34845131. The reversal of 34845120 is 2154843.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319626 + ... + 319734.

Almost surely, 2^34845120 is an apocalyptic number.

34845120 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 34845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63703200).

34845120 is an abundant number, since it is smaller than the sum of its proper divisors (92561280).

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

34845120 is a wasteful number, since it uses less digits than its factorization.

34845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 34845120 is about 5902.9755208708. The cubic root of 34845120 is about 326.6234196994.

Adding to 34845120 its reverse (2154843), we get a palindrome (36999963).

The spelling of 34845120 in words is "thirty-four million, eight hundred forty-five thousand, one hundred twenty".