3303821456496 has 560 divisors, whose sum is σ = 10945772497152. Its totient is φ = 955813478400.

The previous prime is 3303821456437. The next prime is 3303821456497. The reversal of 3303821456496 is 6946541283033.

3303821456496 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 8 + 2 + 145 + 6 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3303821456497) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2865412656 + ... + 2865413808.

Almost surely, 2^{3303821456496} is an apocalyptic number.

3303821456496 is a gapful number since it is divisible by the number (36) 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 3303821456496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472886248576).

3303821456496 is an abundant number, since it is smaller than the sum of its proper divisors (7641951040656).

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

3303821456496 is a wasteful number, since it uses less digits than its factorization.

3303821456496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2163 counting only the distinct ones).

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

The spelling of 3303821456496 in words is "three trillion, three hundred three billion, eight hundred twenty-one million, four hundred fifty-six thousand, four hundred ninety-six".