3626131760 has 80 divisors (see below), whose sum is σ = 8908239360. Its totient is φ = 1368887040.

The previous prime is 3626131759. The next prime is 3626131787. The reversal of 3626131760 is 671316263.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3626131760.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 407519 + ... + 416321.

It is an arithmetic number, because the mean of its divisors is an integer number (111352992).

Almost surely, 2^3626131760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3626131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454119680).

3626131760 is an abundant number, since it is smaller than the sum of its proper divisors (5282107600).

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

3626131760 is a wasteful number, since it uses less digits than its factorization.

3626131760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9106 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3626131760 is about 60217.3709157084. The cubic root of 3626131760 is about 1536.3182640378.

The spelling of 3626131760 in words is "three billion, six hundred twenty-six million, one hundred thirty-one thousand, seven hundred sixty".