3967849573632 has 576 divisors, whose sum is σ = 14255987558400. Its totient is φ = 1062678528000.

The previous prime is 3967849573607. The next prime is 3967849573637. The reversal of 3967849573632 is 2363759487693.

3967849573632 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 8 + 49 + 573 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967849573637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206444919 + ... + 206464137.

It is an arithmetic number, because the mean of its divisors is an integer number (24749978400).

Almost surely, 2^{3967849573632} is an apocalyptic number.

3967849573632 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 3967849573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127993779200).

3967849573632 is an abundant number, since it is smaller than the sum of its proper divisors (10288137984768).

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

3967849573632 is a wasteful number, since it uses less digits than its factorization.

3967849573632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19519 (or 19499 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

The spelling of 3967849573632 in words is "three trillion, nine hundred sixty-seven billion, eight hundred forty-nine million, five hundred seventy-three thousand, six hundred thirty-two".