3338496000000 has 2100 divisors, whose sum is σ = 14867835939264. Its totient is φ = 729907200000.

The previous prime is 3338495999981. The next prime is 3338496000019. The reversal of 3338496000000 is 6948333.

3338496000000 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 49 + 600 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3338495999981) and next prime (3338496000019).

It is a tau number, because it is divible by the number of its divisors (2100).

It is a super-2 number, since 2×3338496000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 145151999989 + ... + 145152000011.

Almost surely, 2^{3338496000000} is an apocalyptic number.

3338496000000 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 3338496000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433917969632).

3338496000000 is an abundant number, since it is smaller than the sum of its proper divisors (11529339939264).

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

3338496000000 is an frugal number, since it uses more digits than its factorization.

3338496000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3338496000000 in words is "three trillion, three hundred thirty-eight billion, four hundred ninety-six million", and thus it is an aban number.