3380087024640 has 880 divisors, whose sum is σ = 12469015361088. Its totient is φ = 875177312256.

The previous prime is 3380087024603. The next prime is 3380087024647. The reversal of 3380087024640 is 464207800833.

3380087024640 is a `hidden beast` number, since 33 + 80 + 0 + 87 + 0 + 2 + 464 + 0 = 666.

It is a super-2 number, since 2×3380087024640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3380087024647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2263955734 + ... + 2263957226.

Almost surely, 2^{3380087024640} is an apocalyptic number.

3380087024640 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 3380087024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234507680544).

3380087024640 is an abundant number, since it is smaller than the sum of its proper divisors (9088928336448).

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

3380087024640 is a wasteful number, since it uses less digits than its factorization.

3380087024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3380087024640 in words is "three trillion, three hundred eighty billion, eighty-seven million, twenty-four thousand, six hundred forty".