3042580800 has 336 divisors, whose sum is σ = 11556260352. Its totient is φ = 686438400.

The previous prime is 3042580787. The next prime is 3042580813. The reversal of 3042580800 is 80852403.

It is an interprime number because it is at equal distance from previous prime (3042580787) and next prime (3042580813).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2788255 + ... + 2789345.

It is an arithmetic number, because the mean of its divisors is an integer number (34393632).

Almost surely, 2^3042580800 is an apocalyptic number.

3042580800 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 3042580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778130176).

3042580800 is an abundant number, since it is smaller than the sum of its proper divisors (8513679552).

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

3042580800 is a wasteful number, since it uses less digits than its factorization.

3042580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3042580800 is about 55159.5939071346. The cubic root of 3042580800 is about 1449.0411099781.

The spelling of 3042580800 in words is "three billion, forty-two million, five hundred eighty thousand, eight hundred".