3859252992 has 432 divisors, whose sum is σ = 13639530240. Its totient is φ = 1054218240.

The previous prime is 3859252987. The next prime is 3859252993. The reversal of 3859252992 is 2992529583.

3859252992 is a `hidden beast` number, since 385 + 9 + 252 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859252993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46496983 + ... + 46497065.

Almost surely, 2^3859252992 is an apocalyptic number.

3859252992 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 3859252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819765120).

3859252992 is an abundant number, since it is smaller than the sum of its proper divisors (9780277248).

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

3859252992 is an equidigital number, since it uses as much as digits as its factorization.

3859252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 126 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 3859252992 is about 62122.8862175608. The cubic root of 3859252992 is about 1568.5598098302.

The spelling of 3859252992 in words is "three billion, eight hundred fifty-nine million, two hundred fifty-two thousand, nine hundred ninety-two".