3626648760 has 512 divisors, whose sum is σ = 13810176000. Its totient is φ = 758661120.

The previous prime is 3626648759. The next prime is 3626648791. The reversal of 3626648760 is 678466263.

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 127 ways as a sum of consecutive naturals, for example, 49680084 + ... + 49680156.

It is an arithmetic number, because the mean of its divisors is an integer number (26973000).

Almost surely, 2^3626648760 is an apocalyptic number.

3626648760 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 3626648760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905088000).

3626648760 is an abundant number, since it is smaller than the sum of its proper divisors (10183527240).

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

3626648760 is a wasteful number, since it uses less digits than its factorization.

3626648760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 3626648760 is about 60221.6635439441. The cubic root of 3626648760 is about 1536.3912746958.

The spelling of 3626648760 in words is "three billion, six hundred twenty-six million, six hundred forty-eight thousand, seven hundred sixty".