3872760192 has 192 divisors, whose sum is σ = 12946745760. Its totient is φ = 1088225280.

The previous prime is 3872760179. The next prime is 3872760209. The reversal of 3872760192 is 2910672783.

3872760192 is a `hidden beast` number, since 38 + 7 + 2 + 7 + 601 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487968 + ... + 495840.

Almost surely, 2^3872760192 is an apocalyptic number.

3872760192 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 3872760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473372880).

3872760192 is an abundant number, since it is smaller than the sum of its proper divisors (9073985568).

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

3872760192 is a wasteful number, since it uses less digits than its factorization.

3872760192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3872760192 is about 62231.5048187010. The cubic root of 3872760192 is about 1570.3876403631.

The spelling of 3872760192 in words is "three billion, eight hundred seventy-two million, seven hundred sixty thousand, one hundred ninety-two".