3973846968 has 192 divisors, whose sum is σ = 14025735360. Its totient is φ = 986370048.

The previous prime is 3973846967. The next prime is 3973846993. The reversal of 3973846968 is 8696483793.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973846963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93546 + ... + 129222.

It is an arithmetic number, because the mean of its divisors is an integer number (73050705).

Almost surely, 2^3973846968 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 3973846968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012867680).

3973846968 is an abundant number, since it is smaller than the sum of its proper divisors (10051888392).

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

3973846968 is a wasteful number, since it uses less digits than its factorization.

3973846968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35726 (or 35719 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 3973846968 is about 63038.4562628242. The cubic root of 3973846968 is about 1583.9338719715.

The spelling of 3973846968 in words is "three billion, nine hundred seventy-three million, eight hundred forty-six thousand, nine hundred sixty-eight".