34633920 has 112 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 9010176.

The previous prime is 34633861. The next prime is 34633927. The reversal of 34633920 is 2933643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34633927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40861 + ... + 41699.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^34633920 is an apocalyptic number.

34633920 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 34633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

34633920 is an abundant number, since it is smaller than the sum of its proper divisors (78020160).

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

34633920 is a wasteful number, since it uses less digits than its factorization.

34633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 34633920 is about 5885.0590481320. The cubic root of 34633920 is about 325.9621821212.

It can be divided in two parts, 34633 and 920, that added together give a palindrome (35553).

The spelling of 34633920 in words is "thirty-four million, six hundred thirty-three thousand, nine hundred twenty".