3339770616000 has 4704 divisors, whose sum is σ = 16589091617280. Its totient is φ = 658409472000.

The previous prime is 3339770615983. The next prime is 3339770616043. The reversal of 3339770616000 is 6160779333.

3339770616000 is a `hidden beast` number, since 3 + 3 + 39 + 7 + 7 + 0 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a super-3 number, since 3×3339770616000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 107734535985 + ... + 107734536015.

Almost surely, 2^{3339770616000} is an apocalyptic number.

3339770616000 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 3339770616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294545808640).

3339770616000 is an abundant number, since it is smaller than the sum of its proper divisors (13249321001280).

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

3339770616000 is a wasteful number, since it uses less digits than its factorization.

3339770616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 3339770616000 in words is "three trillion, three hundred thirty-nine billion, seven hundred seventy million, six hundred sixteen thousand".