34053408 has 72 divisors (see below), whose sum is σ = 97405308. Its totient is φ = 11284992.

The previous prime is 34053403. The next prime is 34053473. The reversal of 34053408 is 80435043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31945104 + 2108304 = 5652^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (34053403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91110 + ... + 91482.

Almost surely, 2^34053408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34053408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48702654).

34053408 is an abundant number, since it is smaller than the sum of its proper divisors (63351900).

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

34053408 is a wasteful number, since it uses less digits than its factorization.

34053408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34053408 is about 5835.5297959997. The cubic root of 34053408 is about 324.1307200011.

The spelling of 34053408 in words is "thirty-four million, fifty-three thousand, four hundred eight".