34429536 has 120 divisors (see below), whose sum is σ = 104282640. Its totient is φ = 11135232.

The previous prime is 34429531. The next prime is 34429537. The reversal of 34429536 is 63592443.

It is a super-3 number, since 3×34429536³ (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34429536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34429531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95725 + ... + 96083.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2^34429536 is an apocalyptic number.

34429536 is a gapful number since it is divisible by the number (36) 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 34429536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52141320).

34429536 is an abundant number, since it is smaller than the sum of its proper divisors (69853104).

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

34429536 is a wasteful number, since it uses less digits than its factorization.

34429536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 34429536 is about 5867.6687023042. The cubic root of 34429536 is about 325.3197200849.

The spelling of 34429536 in words is "thirty-four million, four hundred twenty-nine thousand, five hundred thirty-six".