3382962672384 has 216 divisors, whose sum is σ = 10131319441152. Its totient is φ = 1125854069760.

The previous prime is 3382962672359. The next prime is 3382962672391. The reversal of 3382962672384 is 4832762692833.

3382962672384 is a `hidden beast` number, since 3 + 3 + 8 + 296 + 267 + 2 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3382962672384² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39210157 + ... + 39296339.

It is an arithmetic number, because the mean of its divisors is an integer number (46904256672).

Almost surely, 2^{3382962672384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382962672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065659720576).

3382962672384 is an abundant number, since it is smaller than the sum of its proper divisors (6748356768768).

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

3382962672384 is an frugal number, since it uses more digits than its factorization.

3382962672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86845 (or 86819 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 3382962672384 in words is "three trillion, three hundred eighty-two billion, nine hundred sixty-two million, six hundred seventy-two thousand, three hundred eighty-four".