3892537968 has 80 divisors (see below), whose sum is σ = 10979940096. Its totient is φ = 1178475520.

The previous prime is 3892537949. The next prime is 3892537969. The reversal of 3892537968 is 8697352983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892537969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719080 + ... + 724472.

Almost surely, 2^3892537968 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 3892537968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489970048).

3892537968 is an abundant number, since it is smaller than the sum of its proper divisors (7087402128).

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

3892537968 is a wasteful number, since it uses less digits than its factorization.

3892537968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6776 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The square root of 3892537968 is about 62390.2073085192. The cubic root of 3892537968 is about 1573.0563703001.

The spelling of 3892537968 in words is "three billion, eight hundred ninety-two million, five hundred thirty-seven thousand, nine hundred sixty-eight".