3360400 has 60 divisors (see below), whose sum is σ = 8364544. Its totient is φ = 1296000.

The previous prime is 3360391. The next prime is 3360403. The reversal of 3360400 is 40633.

It is a happy number.

It is a super-2 number, since 2×3360400² = 22584576320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3360403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12265 + ... + 12535.

Almost surely, 2^3360400 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 3360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182272).

3360400 is an abundant number, since it is smaller than the sum of its proper divisors (5004144).

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

3360400 is a wasteful number, since it uses less digits than its factorization.

3360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3360400 is about 1833.1393836804. The cubic root of 3360400 is about 149.7833910580.

The spelling of 3360400 in words is "three million, three hundred sixty thousand, four hundred".