34213792 has 48 divisors (see below), whose sum is σ = 72099720. Its totient is φ = 15925248.

The previous prime is 34213783. The next prime is 34213847. The reversal of 34213792 is 29731243.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 1449616 = 5724^2 + 1204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59008 + ... + 59584.

Almost surely, 2^34213792 is an apocalyptic number.

34213792 is a gapful number since it is divisible by the number (32) 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 34213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049860).

34213792 is an abundant number, since it is smaller than the sum of its proper divisors (37885928).

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

34213792 is a wasteful number, since it uses less digits than its factorization.

34213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 34213792 is about 5849.2556791441. The cubic root of 34213792 is about 324.6387844809.

The spelling of 34213792 in words is "thirty-four million, two hundred thirteen thousand, seven hundred ninety-two".