3363393227040 has 2304 divisors, whose sum is σ = 15753056256000. Its totient is φ = 654179328000.

The previous prime is 3363393227009. The next prime is 3363393227083. The reversal of 3363393227040 is 407223933633.

3363393227040 is a `hidden beast` number, since 3 + 3 + 6 + 339 + 3 + 2 + 270 + 40 = 666.

It is a super-2 number, since 2×3363393227040² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7021697521 + ... + 7021697999.

It is an arithmetic number, because the mean of its divisors is an integer number (6837264000).

Almost surely, 2^{3363393227040} is an apocalyptic number.

3363393227040 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 3363393227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876528128000).

3363393227040 is an abundant number, since it is smaller than the sum of its proper divisors (12389663028960).

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

3363393227040 is a wasteful number, since it uses less digits than its factorization.

3363393227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 45.

The spelling of 3363393227040 in words is "three trillion, three hundred sixty-three billion, three hundred ninety-three million, two hundred twenty-seven thousand, forty".