3081355200 has 756 divisors, whose sum is σ = 13933105992. Its totient is φ = 638668800.

The previous prime is 3081355171. The next prime is 3081355217. The reversal of 3081355200 is 25531803.

3081355200 is a `hidden beast` number, since 3 + 0 + 8 + 135 + 520 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761402 + ... + 7761798.

Almost surely, 2^3081355200 is an apocalyptic number.

3081355200 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 3081355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966552996).

3081355200 is an abundant number, since it is smaller than the sum of its proper divisors (10851750792).

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

3081355200 is a wasteful number, since it uses less digits than its factorization.

3081355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3081355200 is about 55509.9558637908. The cubic root of 3081355200 is about 1455.1706322011.

It can be divided in two parts, 3081 and 355200, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 3081355200 in words is "three billion, eighty-one million, three hundred fifty-five thousand, two hundred".