3355377984000 has 960 divisors, whose sum is σ = 13887434575872. Its totient is φ = 762753024000.

The previous prime is 3355377983957. The next prime is 3355377984031. The reversal of 3355377984000 is 4897735533.

3355377984000 is a `hidden beast` number, since 3 + 3 + 553 + 7 + 7 + 9 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×3355377984000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770109822 + ... + 770114178.

Almost surely, 2^{3355377984000} is an apocalyptic number.

3355377984000 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 3355377984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943717287936).

3355377984000 is an abundant number, since it is smaller than the sum of its proper divisors (10532056591872).

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

3355377984000 is a wasteful number, since it uses less digits than its factorization.

3355377984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 3355377984000 in words is "three trillion, three hundred fifty-five billion, three hundred seventy-seven million, nine hundred eighty-four thousand".