3626663760 has 240 divisors, whose sum is σ = 13186745280. Its totient is φ = 916012800.

The previous prime is 3626663753. The next prime is 3626663767. The reversal of 3626663760 is 673666263.

3626663760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3626663753) and next prime (3626663767).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626663767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777435 + ... + 782085.

It is an arithmetic number, because the mean of its divisors is an integer number (54944772).

Almost surely, 2^3626663760 is an apocalyptic number.

3626663760 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 3626663760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593372640).

3626663760 is an abundant number, since it is smaller than the sum of its proper divisors (9560081520).

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

3626663760 is a wasteful number, since it uses less digits than its factorization.

3626663760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3626663760 is about 60221.7880837160. The cubic root of 3626663760 is about 1536.3933928899.

The spelling of 3626663760 in words is "three billion, six hundred twenty-six million, six hundred sixty-three thousand, seven hundred sixty".