3026400 has 144 divisors (see below), whose sum is σ = 10718064. Its totient is φ = 737280.

The previous prime is 3026389. The next prime is 3026417. The reversal of 3026400 is 46203.

3026400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3026400.

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, 31152 + ... + 31248.

It is an arithmetic number, because the mean of its divisors is an integer number (74431).

Almost surely, 2^3026400 is an apocalyptic number.

3026400 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 3026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359032).

3026400 is an abundant number, since it is smaller than the sum of its proper divisors (7691664).

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

3026400 is a wasteful number, since it uses less digits than its factorization.

3026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3026400 is about 1739.6551382386. The cubic root of 3026400 is about 144.6467819607.

The spelling of 3026400 in words is "three million, twenty-six thousand, four hundred".