3363901295040 has 672 divisors, whose sum is σ = 13697204032512. Its totient is φ = 747002880000.

The previous prime is 3363901295011. The next prime is 3363901295047. The reversal of 3363901295040 is 405921093633.

3363901295040 is a `hidden beast` number, since 3 + 3 + 639 + 0 + 1 + 2 + 9 + 5 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3363901295040² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363901295047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53919865 + ... + 53982215.

It is an arithmetic number, because the mean of its divisors is an integer number (20382744096).

Almost surely, 2^{3363901295040} is an apocalyptic number.

3363901295040 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 3363901295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848602016256).

3363901295040 is an abundant number, since it is smaller than the sum of its proper divisors (10333302737472).

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

3363901295040 is a wasteful number, since it uses less digits than its factorization.

3363901295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62529 (or 62516 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 3363901295040 in words is "three trillion, three hundred sixty-three billion, nine hundred one million, two hundred ninety-five thousand, forty".