3493800 has 96 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 930240.

The previous prime is 3493783. The next prime is 3493811. The reversal of 3493800 is 83943.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5077 + ... + 5723.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 2^3493800 is an apocalyptic number.

3493800 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 3493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

3493800 is an abundant number, since it is smaller than the sum of its proper divisors (8559000).

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

3493800 is a wasteful number, since it uses less digits than its factorization.

3493800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3493800 is about 1869.1709392134. The cubic root of 3493800 is about 151.7397439300.

The spelling of 3493800 in words is "three million, four hundred ninety-three thousand, eight hundred".