34799436 has 96 divisors (see below), whose sum is σ = 104079360. Its totient is φ = 9849600.

The previous prime is 34799423. The next prime is 34799441. The reversal of 34799436 is 63499743.

It is a super-2 number, since 2×34799436² = 2422001491836192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34799391 and 34799400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144276 + ... + 144516.

It is an arithmetic number, because the mean of its divisors is an integer number (1084160).

Almost surely, 2^34799436 is an apocalyptic number.

34799436 is a gapful number since it is divisible by the number (36) 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 34799436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52039680).

34799436 is an abundant number, since it is smaller than the sum of its proper divisors (69279924).

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

34799436 is a wasteful number, since it uses less digits than its factorization.

34799436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34799436 is about 5899.1046778304. The cubic root of 34799436 is about 326.4806164410.

The spelling of 34799436 in words is "thirty-four million, seven hundred ninety-nine thousand, four hundred thirty-six".