3342581990748 has 2304 divisors, whose sum is σ = 13106542804992. Its totient is φ = 689762304000.

The previous prime is 3342581990747. The next prime is 3342581990771. The reversal of 3342581990748 is 8470991852433.

3342581990748 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 581 + 9 + 9 + 0 + 7 + 48 = 666.

It is a super-2 number, since 2×3342581990748² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342581990747) 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 767 ways as a sum of consecutive naturals, for example, 47078619553 + ... + 47078619623.

It is an arithmetic number, because the mean of its divisors is an integer number (5688603648).

Almost surely, 2^{3342581990748} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342581990748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553271402496).

3342581990748 is an abundant number, since it is smaller than the sum of its proper divisors (9763960814244).

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

3342581990748 is a wasteful number, since it uses less digits than its factorization.

3342581990748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3342581990748 in words is "three trillion, three hundred forty-two billion, five hundred eighty-one million, nine hundred ninety thousand, seven hundred forty-eight".