3806475960 has 256 divisors, whose sum is σ = 13916160000. Its totient is φ = 813556224.

The previous prime is 3806475949. The next prime is 3806475989. The reversal of 3806475960 is 695746083.

3806475960 is digitally balanced in base 2, because in such base 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 63 ways as a sum of consecutive naturals, for example, 1259331 + ... + 1262349.

It is an arithmetic number, because the mean of its divisors is an integer number (54360000).

Almost surely, 2^3806475960 is an apocalyptic number.

3806475960 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 3806475960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958080000).

3806475960 is an abundant number, since it is smaller than the sum of its proper divisors (10109684040).

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

3806475960 is a wasteful number, since it uses less digits than its factorization.

3806475960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3806475960 is about 61696.6446413417. The cubic root of 3806475960 is about 1561.3767103933.

The spelling of 3806475960 in words is "three billion, eight hundred six million, four hundred seventy-five thousand, nine hundred sixty".