3806526960 has 120 divisors (see below), whose sum is σ = 13257120240. Its totient is φ = 1015068672.

The previous prime is 3806526953. The next prime is 3806526991. The reversal of 3806526960 is 696256083.

It is a happy number.

3806526960 is a `hidden beast` number, since 38 + 0 + 6 + 526 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78465 + ... + 117344.

It is an arithmetic number, because the mean of its divisors is an integer number (110476002).

Almost surely, 2^3806526960 is an apocalyptic number.

3806526960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3806526960 is an abundant number, since it is smaller than the sum of its proper divisors (9450593280).

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

3806526960 is a wasteful number, since it uses less digits than its factorization.

3806526960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195837 (or 195819 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3806526960 is about 61697.0579525475. The cubic root of 3806526960 is about 1561.3836835847.

It can be divided in two parts, 38065 and 26960, that added together give a square (65025 = 255²).

The spelling of 3806526960 in words is "three billion, eight hundred six million, five hundred twenty-six thousand, nine hundred sixty".