34100352 has 320 divisors, whose sum is σ = 124407360. Its totient is φ = 9123840.

The previous prime is 34100321. The next prime is 34100369. The reversal of 34100352 is 25300143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1482613 + ... + 1482635.

It is an arithmetic number, because the mean of its divisors is an integer number (388773).

Almost surely, 2^34100352 is an apocalyptic number.

34100352 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 34100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

34100352 is an abundant number, since it is smaller than the sum of its proper divisors (90307008).

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

34100352 is a wasteful number, since it uses less digits than its factorization.

34100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34100352 is about 5839.5506676456. The cubic root of 34100352 is about 324.2795940474.

Adding to 34100352 its reverse (25300143), we get a palindrome (59400495).

The spelling of 34100352 in words is "thirty-four million, one hundred thousand, three hundred fifty-two".