34820352 has 216 divisors, whose sum is σ = 122443776. Its totient is φ = 9289728.

The previous prime is 34820351. The next prime is 34820353. The reversal of 34820352 is 25302843.

It is an interprime number because it is at equal distance from previous prime (34820351) and next prime (34820353).

It is not an unprimeable number, because it can be changed into a prime (34820351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274113 + ... + 274239.

Almost surely, 2^34820352 is an apocalyptic number.

34820352 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 34820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221888).

34820352 is an abundant number, since it is smaller than the sum of its proper divisors (87623424).

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

34820352 is a wasteful number, since it uses less digits than its factorization.

34820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34820352 is about 5900.8772229220. The cubic root of 34820352 is about 326.5460131035.

The spelling of 34820352 in words is "thirty-four million, eight hundred twenty thousand, three hundred fifty-two".