34454920 has 64 divisors (see below), whose sum is σ = 85691520. Its totient is φ = 12401664.

The previous prime is 34454863. The next prime is 34454921. The reversal of 34454920 is 2945443.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34454921) 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, 14539 + ... + 16741.

It is an arithmetic number, because the mean of its divisors is an integer number (1338930).

Almost surely, 2^34454920 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 34454920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42845760).

34454920 is an abundant number, since it is smaller than the sum of its proper divisors (51236600).

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

34454920 is a wasteful number, since it uses less digits than its factorization.

34454920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 34454920 is about 5869.8313434033. The cubic root of 34454920 is about 325.3996503630.

It can be divided in two parts, 344549 and 20, that added together give a square (344569 = 587²).

The spelling of 34454920 in words is "thirty-four million, four hundred fifty-four thousand, nine hundred twenty".