34361900 has 54 divisors (see below), whose sum is σ = 76940388. Its totient is φ = 13320000.

The previous prime is 34361893. The next prime is 34361939. The reversal of 34361900 is 916343.

It is a super-2 number, since 2×34361900² = 2361480343220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34361900.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136775 + ... + 137025.

It is an arithmetic number, because the mean of its divisors is an integer number (1424822).

Almost surely, 2^34361900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34361900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38470194).

34361900 is an abundant number, since it is smaller than the sum of its proper divisors (42578488).

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

34361900 is a wasteful number, since it uses less digits than its factorization.

34361900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 34361900 is about 5861.9024215693. The cubic root of 34361900 is about 325.1065528335.

The spelling of 34361900 in words is "thirty-four million, three hundred sixty-one thousand, nine hundred".