34079220 has 288 divisors, whose sum is σ = 131459328. Its totient is φ = 6967296.

The previous prime is 34079209. The next prime is 34079231. The reversal of 34079220 is 2297043.

It is an interprime number because it is at equal distance from previous prime (34079209) and next prime (34079231).

It is a super-2 number, since 2×34079220² = 2322786471616800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 792519 + ... + 792561.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 2^34079220 is an apocalyptic number.

34079220 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 34079220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65729664).

34079220 is an abundant number, since it is smaller than the sum of its proper divisors (97380108).

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

34079220 is a wasteful number, since it uses less digits than its factorization.

34079220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 34079220 is about 5837.7410014491. The cubic root of 34079220 is about 324.2125948132.

Adding to 34079220 its product of nonzero digits (3024), we get a square (34082244 = 5838²).

The spelling of 34079220 in words is "thirty-four million, seventy-nine thousand, two hundred twenty".