3985672392 has 192 divisors, whose sum is σ = 12581412480. Its totient is φ = 1172869632.

The previous prime is 3985672307. The next prime is 3985672399. The reversal of 3985672392 is 2932765893.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3985672399) 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 47 ways as a sum of consecutive naturals, for example, 577828 + ... + 584684.

It is an arithmetic number, because the mean of its divisors is an integer number (65528190).

Almost surely, 2^3985672392 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 3985672392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290706240).

3985672392 is an abundant number, since it is smaller than the sum of its proper divisors (8595740088).

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

3985672392 is a wasteful number, since it uses less digits than its factorization.

3985672392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6898 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3985672392 is about 63132.1819043188. The cubic root of 3985672392 is about 1585.5034795211.

The spelling of 3985672392 in words is "three billion, nine hundred eighty-five million, six hundred seventy-two thousand, three hundred ninety-two".