3703656960 has 400 divisors, whose sum is σ = 13555723896. Its totient is φ = 966131712.

The previous prime is 3703656953. The next prime is 3703656967. The reversal of 3703656960 is 696563073.

It is an interprime number because it is at equal distance from previous prime (3703656953) and next prime (3703656967).

It can be written as a sum of positive squares in 4 ways, for example, as 2947186944 + 756470016 = 54288^2 + 27504^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3703656967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10989912 + ... + 10990248.

Almost surely, 2^3703656960 is an apocalyptic number.

3703656960 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 3703656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777861948).

3703656960 is an abundant number, since it is smaller than the sum of its proper divisors (9852066936).

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

3703656960 is an equidigital number, since it uses as much as digits as its factorization.

3703656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3703656960 is about 60857.6779050926. The cubic root of 3703656960 is about 1547.1897688919.

The spelling of 3703656960 in words is "three billion, seven hundred three million, six hundred fifty-six thousand, nine hundred sixty".