3297282897888 has 864 divisors, whose sum is σ = 12261570048000. Its totient is φ = 833863403520.

The previous prime is 3297282897833. The next prime is 3297282897899. The reversal of 3297282897888 is 8887982827923.

3297282897888 is a `hidden beast` number, since 32 + 97 + 282 + 89 + 78 + 88 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241040233 + ... + 241053911.

It is an arithmetic number, because the mean of its divisors is an integer number (14191632000).

Almost surely, 2^{3297282897888} is an apocalyptic number.

3297282897888 is a gapful number since it is divisible by the number (38) 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 3297282897888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130785024000).

3297282897888 is an abundant number, since it is smaller than the sum of its proper divisors (8964287150112).

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

3297282897888 is a wasteful number, since it uses less digits than its factorization.

3297282897888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13788 (or 13770 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

The spelling of 3297282897888 in words is "three trillion, two hundred ninety-seven billion, two hundred eighty-two million, eight hundred ninety-seven thousand, eight hundred eighty-eight".