34537472 has 68 divisors (see below), whose sum is σ = 75496896. Its totient is φ = 15728640.

The previous prime is 34537427. The next prime is 34537493. The reversal of 34537472 is 27473543.

It is a tau number, because it is divible by the number of its divisors (68).

Its product of digits (70560) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1114097 + ... + 1114127.

Almost surely, 2^34537472 is an apocalyptic number.

34537472 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 34537472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748448).

34537472 is an abundant number, since it is smaller than the sum of its proper divisors (40959424).

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

34537472 is an frugal number, since it uses more digits than its factorization.

34537472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its digits is 70560, while the sum is 35.

The square root of 34537472 is about 5876.8590250235. The cubic root of 34537472 is about 325.6593226813.

The spelling of 34537472 in words is "thirty-four million, five hundred thirty-seven thousand, four hundred seventy-two".