3042513600 has 672 divisors, whose sum is σ = 12384731136. Its totient is φ = 638668800.

The previous prime is 3042513599. The next prime is 3042513619. The reversal of 3042513600 is 63152403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 23956737 + ... + 23956863.

Almost surely, 2^3042513600 is an apocalyptic number.

3042513600 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 3042513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192365568).

3042513600 is an abundant number, since it is smaller than the sum of its proper divisors (9342217536).

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

3042513600 is a wasteful number, since it uses less digits than its factorization.

3042513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3042513600 is about 55158.9847622307. The cubic root of 3042513600 is about 1449.0304418112.

The spelling of 3042513600 in words is "three billion, forty-two million, five hundred thirteen thousand, six hundred".