3086400 has 84 divisors (see below), whose sum is σ = 10141712. Its totient is φ = 821760.

The previous prime is 3086389. The next prime is 3086407. The reversal of 3086400 is 46803.

It is not an unprimeable number, because it can be changed into a prime (3086407) 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, 4479 + ... + 5121.

Almost surely, 2^3086400 is an apocalyptic number.

3086400 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 3086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070856).

3086400 is an abundant number, since it is smaller than the sum of its proper divisors (7055312).

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

3086400 is a wasteful number, since it uses less digits than its factorization.

3086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3086400 is about 1756.8153004798. The cubic root of 3086400 is about 145.5964335157.

It can be divided in two parts, 3086 and 400, that added together give a triangular number (3486 = T₈₃).

The spelling of 3086400 in words is "three million, eighty-six thousand, four hundred".