34513472 has 56 divisors (see below), whose sum is σ = 80223360. Its totient is φ = 14423040.

The previous prime is 34513471. The next prime is 34513499. The reversal of 34513472 is 27431543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×34513472³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34513471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17429 + ... + 19307.

It is an arithmetic number, because the mean of its divisors is an integer number (1432560).

Almost surely, 2^34513472 is an apocalyptic number.

34513472 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 34513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40111680).

34513472 is an abundant number, since it is smaller than the sum of its proper divisors (45709888).

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

34513472 is a wasteful number, since it uses less digits than its factorization.

34513472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1929 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 34513472 is about 5874.8167630999. The cubic root of 34513472 is about 325.5838719280.

The spelling of 34513472 in words is "thirty-four million, five hundred thirteen thousand, four hundred seventy-two".