34652448 has 120 divisors (see below), whose sum is σ = 105654780. Its totient is φ = 11128320.

The previous prime is 34652441. The next prime is 34652479. The reversal of 34652448 is 84425643.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 219024 = 5868^2 + 468^2 .

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

Its product of digits (92160) is a multiple of the sum of its prime factors (512).

It is not an unprimeable number, because it can be changed into a prime (34652441) 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, 74938 + ... + 75398.

Almost surely, 2^34652448 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 34652448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52827390).

34652448 is an abundant number, since it is smaller than the sum of its proper divisors (71002332).

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

34652448 is a wasteful number, since it uses less digits than its factorization.

34652448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 34652448 is about 5886.6329934862. The cubic root of 34652448 is about 326.0202980825.

The spelling of 34652448 in words is "thirty-four million, six hundred fifty-two thousand, four hundred forty-eight".