3626242560 has 320 divisors, whose sum is σ = 13446639360. Its totient is φ = 924549120.

The previous prime is 3626242553. The next prime is 3626242561. The reversal of 3626242560 is 652426263.

3626242560 is a `hidden beast` number, since 3 + 6 + 2 + 624 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3626242561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588620 + ... + 1590900.

It is an arithmetic number, because the mean of its divisors is an integer number (42020748).

Almost surely, 2^3626242560 is an apocalyptic number.

3626242560 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 3626242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723319680).

3626242560 is an abundant number, since it is smaller than the sum of its proper divisors (9820396800).

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

3626242560 is a wasteful number, since it uses less digits than its factorization.

3626242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3626242560 is about 60218.2909089921. The cubic root of 3626242560 is about 1536.3339117805. Note that the first 3 decimals are identical.

The spelling of 3626242560 in words is "three billion, six hundred twenty-six million, two hundred forty-two thousand, five hundred sixty".