34385472 has 196 divisors, whose sum is σ = 113269776. Its totient is φ = 10264320.

The previous prime is 34385453. The next prime is 34385473. The reversal of 34385472 is 27458343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34385473) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 513183 + ... + 513249.

Almost surely, 2^34385472 is an apocalyptic number.

34385472 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 34385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56634888).

34385472 is an abundant number, since it is smaller than the sum of its proper divisors (78884304).

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

34385472 is an equidigital number, since it uses as much as digits as its factorization.

34385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 34385472 is about 5863.9126869352. The cubic root of 34385472 is about 325.1808760421.

The spelling of 34385472 in words is "thirty-four million, three hundred eighty-five thousand, four hundred seventy-two".