3789192960 has 720 divisors, whose sum is σ = 16240283136. Its totient is φ = 824795136.

The previous prime is 3789192949. The next prime is 3789192989. The reversal of 3789192960 is 692919873.

3789192960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3789192960² = 28715966576227123200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3789192897 and 3789192906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692367 + ... + 16692593.

Almost surely, 2^3789192960 is an apocalyptic number.

3789192960 is a gapful number since it is divisible by the number (30) 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 3789192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120141568).

3789192960 is an abundant number, since it is smaller than the sum of its proper divisors (12451090176).

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

3789192960 is a wasteful number, since it uses less digits than its factorization.

3789192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 3789192960 is about 61556.4209485899. The cubic root of 3789192960 is about 1559.0100227802.

The spelling of 3789192960 in words is "three billion, seven hundred eighty-nine million, one hundred ninety-two thousand, nine hundred sixty".