34057472 has 36 divisors (see below), whose sum is σ = 68463780. Its totient is φ = 16908288.

The previous prime is 34057423. The next prime is 34057483. The reversal of 34057472 is 27475043.

It can be written as a sum of positive squares in 2 ways, for example, as 23193856 + 10863616 = 4816^2 + 3296^2 .

It is a super-2 number, since 2×34057472² = 2319822798061568, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43904 + ... + 44672.

Almost surely, 2^34057472 is an apocalyptic number.

34057472 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 34057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231890).

34057472 is an abundant number, since it is smaller than the sum of its proper divisors (34406308).

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

34057472 is an equidigital number, since it uses as much as digits as its factorization.

34057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 34057472 is about 5835.8779973540. The cubic root of 34057472 is about 324.1436136186.

The spelling of 34057472 in words is "thirty-four million, fifty-seven thousand, four hundred seventy-two".