3705276960 has 960 divisors, whose sum is σ = 16860856320. Its totient is φ = 744007680.

The previous prime is 3705276941. The next prime is 3705277027. The reversal of 3705276960 is 696725073.

3705276960 is a `hidden beast` number, since 3 + 7 + 0 + 527 + 69 + 60 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46902201 + ... + 46902279.

It is an arithmetic number, because the mean of its divisors is an integer number (17563392).

Almost surely, 2^3705276960 is an apocalyptic number.

3705276960 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 3705276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430428160).

3705276960 is an abundant number, since it is smaller than the sum of its proper divisors (13155579360).

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

3705276960 is a wasteful number, since it uses less digits than its factorization.

3705276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3705276960 is about 60870.9861921096. The cubic root of 3705276960 is about 1547.4153191248.

The spelling of 3705276960 in words is "three billion, seven hundred five million, two hundred seventy-six thousand, nine hundred sixty".