3983274293472 has 192 divisors, whose sum is σ = 11647236706560. Its totient is φ = 1324407946752.

The previous prime is 3983274293461. The next prime is 3983274293483. The reversal of 3983274293472 is 2743924723893.

3983274293472 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 2 + 74 + 2 + 93 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (3983274293461) and next prime (3983274293483).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659152083 + ... + 659158125.

It is an arithmetic number, because the mean of its divisors is an integer number (60662691180).

Almost surely, 2^{3983274293472} is an apocalyptic number.

3983274293472 is a gapful number since it is divisible by the number (32) 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 3983274293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823618353280).

3983274293472 is an abundant number, since it is smaller than the sum of its proper divisors (7663962413088).

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

3983274293472 is a wasteful number, since it uses less digits than its factorization.

3983274293472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 7848 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 3983274293472 in words is "three trillion, nine hundred eighty-three billion, two hundred seventy-four million, two hundred ninety-three thousand, four hundred seventy-two".