3368953980000 has 1440 divisors, whose sum is σ = 14430747082752. Its totient is φ = 728640000000.

The previous prime is 3368953979927. The next prime is 3368953980001. The reversal of 3368953980000 is 893598633.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3368953980000² (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 (3368953980001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2926979425 + ... + 2926980575.

Almost surely, 2^{3368953980000} is an apocalyptic number.

3368953980000 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 3368953980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215373541376).

3368953980000 is an abundant number, since it is smaller than the sum of its proper divisors (11061793102752).

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

3368953980000 is a wasteful number, since it uses less digits than its factorization.

3368953980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3368953980000 in words is "three trillion, three hundred sixty-eight billion, nine hundred fifty-three million, nine hundred eighty thousand".