34792380 has 144 divisors (see below), whose sum is σ = 123125184. Its totient is φ = 7787520.

The previous prime is 34792357. The next prime is 34792397. The reversal of 34792380 is 8329743.

34792380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66520 + ... + 67040.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 2^34792380 is an apocalyptic number.

34792380 is a gapful number since it is divisible by the number (30) 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 34792380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61562592).

34792380 is an abundant number, since it is smaller than the sum of its proper divisors (88332804).

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

34792380 is a wasteful number, since it uses less digits than its factorization.

34792380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34792380 is about 5898.5065906550. The cubic root of 34792380 is about 326.4585490053.

The spelling of 34792380 in words is "thirty-four million, seven hundred ninety-two thousand, three hundred eighty".