3363682140 has 240 divisors, whose sum is σ = 12987640512. Its totient is φ = 709668864.

The previous prime is 3363682117. The next prime is 3363682171. The reversal of 3363682140 is 412863633.

3363682140 is a `hidden beast` number, since 3 + 3 + 636 + 8 + 2 + 14 + 0 = 666.

It is a super-2 number, since 2×3363682140² = 22628715077909959200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3363682095 and 3363682104.

It is a congruent number.

It is an unprimeable number.

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, 136012 + ... + 158828.

Almost surely, 2^3363682140 is an apocalyptic number.

3363682140 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 3363682140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493820256).

3363682140 is an abundant number, since it is smaller than the sum of its proper divisors (9623958372).

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

3363682140 is a wasteful number, since it uses less digits than its factorization.

3363682140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22858 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3363682140 is about 57997.2597628543. The cubic root of 3363682140 is about 1498.3214022404.

The spelling of 3363682140 in words is "three billion, three hundred sixty-three million, six hundred eighty-two thousand, one hundred forty".