3864190176 has 648 divisors, whose sum is σ = 14702530752. Its totient is φ = 958003200.

The previous prime is 3864190147. The next prime is 3864190193. The reversal of 3864190176 is 6710914683.

It is a happy number.

3864190176 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52934076 + ... + 52934148.

Almost surely, 2^3864190176 is an apocalyptic number.

3864190176 is a gapful number since it is divisible by the number (36) 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 3864190176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351265376).

3864190176 is an abundant number, since it is smaller than the sum of its proper divisors (10838340576).

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

3864190176 is a wasteful number, since it uses less digits than its factorization.

3864190176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3864190176 is about 62162.6107559842. The cubic root of 3864190176 is about 1569.2284166232.

The spelling of 3864190176 in words is "three billion, eight hundred sixty-four million, one hundred ninety thousand, one hundred seventy-six".