3042003435600 has 240 divisors, whose sum is σ = 9873236197440. Its totient is φ = 800547840000.

The previous prime is 3042003435599. The next prime is 3042003435623. The reversal of 3042003435600 is 65343002403.

It is a tau number, because it is divible by the number of its divisors (240).

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, 32784472 + ... + 32877128.

It is an arithmetic number, because the mean of its divisors is an integer number (41138484156).

Almost surely, 2^{3042003435600} is an apocalyptic number.

3042003435600 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 3042003435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936618098720).

3042003435600 is an abundant number, since it is smaller than the sum of its proper divisors (6831232761840).

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

3042003435600 is a wasteful number, since it uses less digits than its factorization.

3042003435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93038 (or 93027 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 3042003435600 in words is "three trillion, forty-two billion, three million, four hundred thirty-five thousand, six hundred".