3880785342240 has 576 divisors, whose sum is σ = 14288229682272. Its totient is φ = 955603353600.

The previous prime is 3880785342211. The next prime is 3880785342263. The reversal of 3880785342240 is 422435870883.

3880785342240 is a `hidden beast` number, since 3 + 8 + 80 + 7 + 8 + 534 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1020641431824 + 2860143910416 = 1010268^2 + 1691196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628667794 + ... + 628673966.

Almost surely, 2^{3880785342240} is an apocalyptic number.

3880785342240 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 3880785342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144114841136).

3880785342240 is an abundant number, since it is smaller than the sum of its proper divisors (10407444340032).

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

3880785342240 is a wasteful number, since it uses less digits than its factorization.

3880785342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

It can be divided in two parts, 3880785 and 342240, that added together give a square (4223025 = 2055²).

The spelling of 3880785342240 in words is "three trillion, eight hundred eighty billion, seven hundred eighty-five million, three hundred forty-two thousand, two hundred forty".