34955424 has 108 divisors (see below), whose sum is σ = 115680474. Its totient is φ = 9983232.

The previous prime is 34955387. The next prime is 34955429. The reversal of 34955424 is 42455943.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 5143824 = 5460^2 + 2268^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34955429) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12874 + ... + 15350.

Almost surely, 2^34955424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34955424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57840237).

34955424 is an abundant number, since it is smaller than the sum of its proper divisors (80725050).

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

34955424 is a wasteful number, since it uses less digits than its factorization.

34955424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2489 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 34955424 is about 5912.3112232020. The cubic root of 34955424 is about 326.9677043547.

The spelling of 34955424 in words is "thirty-four million, nine hundred fifty-five thousand, four hundred twenty-four".