3985837632 has 672 divisors, whose sum is σ = 14911303680. Its totient is φ = 1030164480.

The previous prime is 3985837621. The next prime is 3985837643. The reversal of 3985837632 is 2367385893.

It is an interprime number because it is at equal distance from previous prime (3985837621) and next prime (3985837643).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84805033 + ... + 84805079.

It is an arithmetic number, because the mean of its divisors is an integer number (22189440).

Almost surely, 2^3985837632 is an apocalyptic number.

3985837632 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 3985837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455651840).

3985837632 is an abundant number, since it is smaller than the sum of its proper divisors (10925466048).

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

3985837632 is a wasteful number, since it uses less digits than its factorization.

3985837632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3985837632 is about 63133.4905735458. The cubic root of 3985837632 is about 1585.5253900838.

The spelling of 3985837632 in words is "three billion, nine hundred eighty-five million, eight hundred thirty-seven thousand, six hundred thirty-two".