3080400 has 120 divisors (see below), whose sum is σ = 10517184. Its totient is φ = 768000.

The previous prime is 3080393. The next prime is 3080401. The reversal of 3080400 is 40803.

It is a tau number, because it is divible by the number of its divisors (120).

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 3080400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3080401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20325 + ... + 20475.

Almost surely, 2^3080400 is an apocalyptic number.

3080400 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 3080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258592).

3080400 is an abundant number, since it is smaller than the sum of its proper divisors (7436784).

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

3080400 is a wasteful number, since it uses less digits than its factorization.

3080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3080400 is about 1755.1068343551. The cubic root of 3080400 is about 145.5020252195.

The spelling of 3080400 in words is "three million, eighty thousand, four hundred".