3623645520 has 240 divisors, whose sum is σ = 13318344000. Its totient is φ = 875642880.

The previous prime is 3623645513. The next prime is 3623645537. The reversal of 3623645520 is 255463263.

3623645520 is a `hidden beast` number, since 3 + 6 + 2 + 3 + 645 + 5 + 2 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3555571 + ... + 3556589.

It is an arithmetic number, because the mean of its divisors is an integer number (55493100).

Almost surely, 2^3623645520 is an apocalyptic number.

3623645520 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 3623645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659172000).

3623645520 is an abundant number, since it is smaller than the sum of its proper divisors (9694698480).

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

3623645520 is a wasteful number, since it uses less digits than its factorization.

3623645520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3623645520 is about 60196.7234988749. The cubic root of 3623645520 is about 1535.9670606543.

The spelling of 3623645520 in words is "three billion, six hundred twenty-three million, six hundred forty-five thousand, five hundred twenty".