3985454592 has 360 divisors, whose sum is σ = 14099599800. Its totient is φ = 1077608448.

The previous prime is 3985454591. The next prime is 3985454597. The reversal of 3985454592 is 2954545893.

3985454592 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 4 + 545 + 92 = 666.

Its product of digits (7776000) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985454591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4289584 + ... + 4290512.

It is an arithmetic number, because the mean of its divisors is an integer number (39165555).

Almost surely, 2^3985454592 is an apocalyptic number.

3985454592 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 3985454592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049799900).

3985454592 is an abundant number, since it is smaller than the sum of its proper divisors (10114145208).

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

3985454592 is a wasteful number, since it uses less digits than its factorization.

3985454592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 960 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 3985454592 is about 63130.4569284905. The cubic root of 3985454592 is about 1585.4745986603.

The spelling of 3985454592 in words is "three billion, nine hundred eighty-five million, four hundred fifty-four thousand, five hundred ninety-two".