3057249223800 has 288 divisors, whose sum is σ = 10549957326480. Its totient is φ = 792840960000.

The previous prime is 3057249223771. The next prime is 3057249223801. The reversal of 3057249223800 is 83229427503.

3057249223800 is a `hidden beast` number, since 3 + 0 + 5 + 7 + 249 + 22 + 380 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057249223801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149906404 + ... + 149926796.

Almost surely, 2^{3057249223800} is an apocalyptic number.

3057249223800 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 3057249223800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274978663240).

3057249223800 is an abundant number, since it is smaller than the sum of its proper divisors (7492708102680).

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

3057249223800 is a wasteful number, since it uses less digits than its factorization.

3057249223800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22703 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3057249223800 in words is "three trillion, fifty-seven billion, two hundred forty-nine million, two hundred twenty-three thousand, eight hundred".