34873200 has 120 divisors (see below), whose sum is σ = 124161200. Its totient is φ = 9296640.

The previous prime is 34873193. The next prime is 34873211. The reversal of 34873200 is 237843.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34873200² = 2432280156480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9186 + ... + 12414.

Almost surely, 2^34873200 is an apocalyptic number.

34873200 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 34873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62080600).

34873200 is an abundant number, since it is smaller than the sum of its proper divisors (89288000).

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

34873200 is a wasteful number, since it uses less digits than its factorization.

34873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34873200 is about 5905.3535033900. The cubic root of 34873200 is about 326.7111328243.

The spelling of 34873200 in words is "thirty-four million, eight hundred seventy-three thousand, two hundred".