3323824874496 has 297 divisors, whose sum is σ = 11168523097641. Its totient is φ = 949314207744.

The previous prime is 3323824874479. The next prime is 3323824874501. The reversal of 3323824874496 is 6944784283233.

The square root of 3323824874496 is 1823136.

It is a perfect power (a square), and thus also a powerful number.

3323824874496 is a `hidden beast` number, since 3 + 3 + 2 + 38 + 2 + 48 + 74 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3279865881600 + 43958992896 = 1811040^2 + 209664^2 .

It is a super-2 number, since 2×3323824874496² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1225146036 + ... + 1225148748.

Almost surely, 2^{3323824874496} is an apocalyptic number.

3323824874496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3323824874496 is the 1823136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323824874496

3323824874496 is an abundant number, since it is smaller than the sum of its proper divisors (7844698223145).

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

3323824874496 is an frugal number, since it uses more digits than its factorization.

3323824874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 2725 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 3323824874496 in words is "three trillion, three hundred twenty-three billion, eight hundred twenty-four million, eight hundred seventy-four thousand, four hundred ninety-six".