3892714752 has 72 divisors (see below), whose sum is σ = 10476889920. Its totient is φ = 1282969600.

The previous prime is 3892714751. The next prime is 3892714801. The reversal of 3892714752 is 2574172983.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892714751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39877 + ... + 96827.

It is an arithmetic number, because the mean of its divisors is an integer number (145512360).

Almost surely, 2^3892714752 is an apocalyptic number.

3892714752 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 3892714752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238444960).

3892714752 is an abundant number, since it is smaller than the sum of its proper divisors (6584175168).

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

3892714752 is an equidigital number, since it uses as much as digits as its factorization.

3892714752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57059 (or 57045 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 3892714752 is about 62391.6240532333. The cubic root of 3892714752 is about 1573.0801839824.

The spelling of 3892714752 in words is "three billion, eight hundred ninety-two million, seven hundred fourteen thousand, seven hundred fifty-two".