34793792 has 42 divisors (see below), whose sum is σ = 75908154. Its totient is φ = 15811840.

The previous prime is 34793791. The next prime is 34793827. The reversal of 34793792 is 29739743.

It can be written as a sum of positive squares in only one way, i.e., 34762816 + 30976 = 5896^2 + 176^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34793791) 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, 5498 + ... + 9990.

It is an arithmetic number, because the mean of its divisors is an integer number (1807337).

Almost surely, 2^34793792 is an apocalyptic number.

34793792 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 34793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37954077).

34793792 is an abundant number, since it is smaller than the sum of its proper divisors (41114362).

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

34793792 is a wasteful number, since it uses less digits than its factorization.

34793792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4506 counting only the distinct ones).

The product of its digits is 285768, while the sum is 44.

The square root of 34793792 is about 5898.6262807539. The cubic root of 34793792 is about 326.4629652332.

The spelling of 34793792 in words is "thirty-four million, seven hundred ninety-three thousand, seven hundred ninety-two".