3902289792 has 64 divisors (see below), whose sum is σ = 10394697600. Its totient is φ = 1297094144.

The previous prime is 3902289791. The next prime is 3902289869. The reversal of 3902289792 is 2979822093.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3902289791) 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 7 ways as a sum of consecutive naturals, for example, 123703 + ... + 152009.

It is an arithmetic number, because the mean of its divisors is an integer number (162417150).

Almost surely, 2^3902289792 is an apocalyptic number.

3902289792 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 3902289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197348800).

3902289792 is an abundant number, since it is smaller than the sum of its proper divisors (6492407808).

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

3902289792 is a wasteful number, since it uses less digits than its factorization.

3902289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28683 (or 28671 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 3902289792 is about 62468.3103021044. The cubic root of 3902289792 is about 1574.3689138055.

The spelling of 3902289792 in words is "three billion, nine hundred two million, two hundred eighty-nine thousand, seven hundred ninety-two".