34724220 has 72 divisors (see below), whose sum is σ = 99859536. Its totient is φ = 9015552.

The previous prime is 34724219. The next prime is 34724233. The reversal of 34724220 is 2242743.

34724220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 110784 + ... + 111096.

It is an arithmetic number, because the mean of its divisors is an integer number (1386938).

Almost surely, 2^34724220 is an apocalyptic number.

34724220 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 34724220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49929768).

34724220 is an abundant number, since it is smaller than the sum of its proper divisors (65135316).

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

34724220 is a wasteful number, since it uses less digits than its factorization.

34724220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 34724220 is about 5892.7260245153. The cubic root of 34724220 is about 326.2452268059.

Adding to 34724220 its reverse (2242743), we get a palindrome (36966963).

The spelling of 34724220 in words is "thirty-four million, seven hundred twenty-four thousand, two hundred twenty".