34824096 has 36 divisors (see below), whose sum is σ = 99031842. Its totient is φ = 11607936.

The previous prime is 34824091. The next prime is 34824103. The reversal of 34824096 is 69042843.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28772496 + 6051600 = 5364^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 34824096.

It is not an unprimeable number, because it can be changed into a prime (34824091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60171 + ... + 60746.

Almost surely, 2^34824096 is an apocalyptic number.

34824096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34824096 is an abundant number, since it is smaller than the sum of its proper divisors (64207746).

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

34824096 is a wasteful number, since it uses less digits than its factorization.

34824096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120933 (or 120922 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34824096 is about 5901.1944553624. The cubic root of 34824096 is about 326.5577164550.

The spelling of 34824096 in words is "thirty-four million, eight hundred twenty-four thousand, ninety-six".