3992389632 has 576 divisors, whose sum is σ = 15025046400. Its totient is φ = 990904320.

The previous prime is 3992389607. The next prime is 3992389663. The reversal of 3992389632 is 2369832993.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41158608 + ... + 41158704.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^3992389632 is an apocalyptic number.

3992389632 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 3992389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512523200).

3992389632 is an abundant number, since it is smaller than the sum of its proper divisors (11032656768).

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

3992389632 is a wasteful number, since it uses less digits than its factorization.

3992389632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 3992389632 is about 63185.3593168544. The cubic root of 3992389632 is about 1586.3936873158.

The spelling of 3992389632 in words is "three billion, nine hundred ninety-two million, three hundred eighty-nine thousand, six hundred thirty-two".