3350582864640 has 1728 divisors, whose sum is σ = 14077973145600. Its totient is φ = 726456729600.

The previous prime is 3350582864591. The next prime is 3350582864677. The reversal of 3350582864640 is 464682850533.

3350582864640 is a `hidden beast` number, since 3 + 3 + 50 + 58 + 2 + 86 + 464 + 0 = 666.

It is a super-2 number, since 2×3350582864640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3281667330 + ... + 3281668350.

It is an arithmetic number, because the mean of its divisors is an integer number (8146975200).

Almost surely, 2^{3350582864640} is an apocalyptic number.

3350582864640 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 3350582864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038986572800).

3350582864640 is an abundant number, since it is smaller than the sum of its proper divisors (10727390280960).

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

3350582864640 is a wasteful number, since it uses less digits than its factorization.

3350582864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 3350582864640 in words is "three trillion, three hundred fifty billion, five hundred eighty-two million, eight hundred sixty-four thousand, six hundred forty".