3313605335040 has 2880 divisors, whose sum is σ = 16086574183680. Its totient is φ = 633506365440.

The previous prime is 3313605335003. The next prime is 3313605335063. The reversal of 3313605335040 is 405335063133.

3313605335040 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 605 + 3 + 3 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 3313605334986 and 3313605335004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10793502567 + ... + 10793502873.

It is an arithmetic number, because the mean of its divisors is an integer number (5585616036).

Almost surely, 2^{3313605335040} is an apocalyptic number.

3313605335040 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 3313605335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043287091840).

3313605335040 is an abundant number, since it is smaller than the sum of its proper divisors (12772968848640).

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

3313605335040 is a wasteful number, since it uses less digits than its factorization.

3313605335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

The spelling of 3313605335040 in words is "three trillion, three hundred thirteen billion, six hundred five million, three hundred thirty-five thousand, forty".