3353748780240 has 480 divisors, whose sum is σ = 11607384222720. Its totient is φ = 867312230400.

The previous prime is 3353748780191. The next prime is 3353748780251. The reversal of 3353748780240 is 420878473533.

3353748780240 is a `hidden beast` number, since 3 + 3 + 537 + 4 + 8 + 7 + 80 + 24 + 0 = 666.

It is a super-2 number, since 2×3353748780240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3384206145 + ... + 3384207135.

It is an arithmetic number, because the mean of its divisors is an integer number (24182050464).

Almost surely, 2^{3353748780240} is an apocalyptic number.

3353748780240 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 3353748780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803692111360).

3353748780240 is an abundant number, since it is smaller than the sum of its proper divisors (8253635442480).

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

3353748780240 is a wasteful number, since it uses less digits than its factorization.

3353748780240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 3353748780240 in words is "three trillion, three hundred fifty-three billion, seven hundred forty-eight million, seven hundred eighty thousand, two hundred forty".