34752384 has 96 divisors (see below), whose sum is σ = 101359440. Its totient is φ = 11427840.

The previous prime is 34752343. The next prime is 34752401. The reversal of 34752384 is 48325743.

34752384 = 167² + 168² + ... + 477².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111589 + ... + 111899.

Almost surely, 2^34752384 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 34752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679720).

34752384 is an abundant number, since it is smaller than the sum of its proper divisors (66607056).

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

34752384 is a wasteful number, since it uses less digits than its factorization.

34752384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

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

The square root of 34752384 is about 5895.1152660487. The cubic root of 34752384 is about 326.3334062527. Note that the first 3 decimals are identical.

The spelling of 34752384 in words is "thirty-four million, seven hundred fifty-two thousand, three hundred eighty-four".