34633472 has 36 divisors (see below), whose sum is σ = 70334040. Its totient is φ = 17015808.

The previous prime is 34633451. The next prime is 34633477. The reversal of 34633472 is 27433643.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34633477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13958 + ... + 16250.

Almost surely, 2^34633472 is an apocalyptic number.

34633472 is a gapful number since it is divisible by the number (32) 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 34633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35167020).

34633472 is an abundant number, since it is smaller than the sum of its proper divisors (35700568).

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

34633472 is an equidigital number, since it uses as much as digits as its factorization.

34633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2354 counting only the distinct ones).

The product of its digits is 36288, while the sum is 32.

The square root of 34633472 is about 5885.0209855191. The cubic root of 34633472 is about 325.9607766427.

The spelling of 34633472 in words is "thirty-four million, six hundred thirty-three thousand, four hundred seventy-two".