3366997488000 has 768 divisors, whose sum is σ = 12305664858240. Its totient is φ = 882126028800.

The previous prime is 3366997487977. The next prime is 3366997488007. The reversal of 3366997488000 is 8847996633.

3366997488000 is a `hidden beast` number, since 3 + 3 + 6 + 69 + 97 + 488 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3366997488000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366997488007) 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, 2031983172 + ... + 2031984828.

Almost surely, 2^{3366997488000} is an apocalyptic number.

3366997488000 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 3366997488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152832429120).

3366997488000 is an abundant number, since it is smaller than the sum of its proper divisors (8938667370240).

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

3366997488000 is a wasteful number, since it uses less digits than its factorization.

3366997488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3366997488000 in words is "three trillion, three hundred sixty-six billion, nine hundred ninety-seven million, four hundred eighty-eight thousand".