3629606760 has 640 divisors, whose sum is σ = 14391004320. Its totient is φ = 812187648.

The previous prime is 3629606711. The next prime is 3629606779. The reversal of 3629606760 is 676069263.

3629606760 is a `hidden beast` number, since 36 + 2 + 9 + 606 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 977562756 + 2652044004 = 31266^2 + 51498^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26493412 + ... + 26493548.

Almost surely, 2^3629606760 is an apocalyptic number.

3629606760 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 3629606760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195502160).

3629606760 is an abundant number, since it is smaller than the sum of its proper divisors (10761397560).

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

3629606760 is a wasteful number, since it uses less digits than its factorization.

3629606760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3629606760 is about 60246.2178065976. The cubic root of 3629606760 is about 1536.8088696225.

The spelling of 3629606760 in words is "three billion, six hundred twenty-nine million, six hundred six thousand, seven hundred sixty".