3052800 has 162 divisors, whose sum is σ = 11120382. Its totient is φ = 798720.

The previous prime is 3052793. The next prime is 3052873. The reversal of 3052800 is 82503.

It can be written as a sum of positive squares in 3 ways, for example, as 389376 + 2663424 = 624^2 + 1632^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57574 + ... + 57626.

Almost surely, 2^3052800 is an apocalyptic number.

3052800 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 3052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560191).

3052800 is an abundant number, since it is smaller than the sum of its proper divisors (8067582).

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

3052800 is a wasteful number, since it uses less digits than its factorization.

3052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3052800 is about 1747.2263734273. The cubic root of 3052800 is about 145.0661608498.

3052800 divided by its product of nonzero digits (240) gives a triangular number (12720 = T₁₅₉).

The spelling of 3052800 in words is "three million, fifty-two thousand, eight hundred".