3384606984192 has 144 divisors (see below), whose sum is σ = 11171847697920. Its totient is φ = 967030530048.

The previous prime is 3384606984181. The next prime is 3384606984203. The reversal of 3384606984192 is 2914896064833.

3384606984192 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 606 + 9 + 8 + 4 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3384606984181) and next prime (3384606984203).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3384606984192² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12987168 + ... + 13245215.

It is an arithmetic number, because the mean of its divisors is an integer number (77582275680).

Almost surely, 2^{3384606984192} is an apocalyptic number.

3384606984192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3384606984192 is an abundant number, since it is smaller than the sum of its proper divisors (7787240713728).

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

3384606984192 is a wasteful number, since it uses less digits than its factorization.

3384606984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26232418 (or 26232395 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3384606984192 in words is "three trillion, three hundred eighty-four billion, six hundred six million, nine hundred eighty-four thousand, one hundred ninety-two".