3468200 has 24 divisors (see below), whose sum is σ = 8064030. Its totient is φ = 1387200.

The previous prime is 3468169. The next prime is 3468209. The reversal of 3468200 is 28643.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3161284 + 306916 = 1778^2 + 554^2 .

It is a super-2 number, since 2×3468200² = 24056822480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3468209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8471 + ... + 8870.

Almost surely, 2^3468200 is an apocalyptic number.

It is an amenable number.

3468200 is an abundant number, since it is smaller than the sum of its proper divisors (4595830).

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

3468200 is a wasteful number, since it uses less digits than its factorization.

3468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17357 (or 17348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3468200 is about 1862.3103930333. The cubic root of 3468200 is about 151.3682225746.

The spelling of 3468200 in words is "three million, four hundred sixty-eight thousand, two hundred".