3369882353040 has 800 divisors, whose sum is σ = 13854693600000. Its totient is φ = 742767169536.

The previous prime is 3369882353023. The next prime is 3369882353171. The reversal of 3369882353040 is 403532889633.

It is a happy number.

3369882353040 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 88 + 23 + 530 + 4 + 0 = 666.

It is a super-2 number, since 2×3369882353040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1971843706 + ... + 1971845414.

It is an arithmetic number, because the mean of its divisors is an integer number (17318367000).

Almost surely, 2^{3369882353040} is an apocalyptic number.

3369882353040 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 3369882353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927346800000).

3369882353040 is an abundant number, since it is smaller than the sum of its proper divisors (10484811246960).

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

3369882353040 is a wasteful number, since it uses less digits than its factorization.

3369882353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3369882353040 in words is "three trillion, three hundred sixty-nine billion, eight hundred eighty-two million, three hundred fifty-three thousand, forty".