3603824640 has 432 divisors, whose sum is σ = 13740487488. Its totient is φ = 868220928.

The previous prime is 3603824633. The next prime is 3603824657. The reversal of 3603824640 is 464283063.

It is a happy number.

3603824640 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 8 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×3603824640² = 25975104071742259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3603824595 and 3603824604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76677097 + ... + 76677143.

It is an arithmetic number, because the mean of its divisors is an integer number (31806684).

Almost surely, 2^3603824640 is an apocalyptic number.

3603824640 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 3603824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870243744).

3603824640 is an abundant number, since it is smaller than the sum of its proper divisors (10136662848).

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

3603824640 is an equidigital number, since it uses as much as digits as its factorization.

3603824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3603824640 is about 60031.8635392905. The cubic root of 3603824640 is about 1533.1614241214.

The spelling of 3603824640 in words is "three billion, six hundred three million, eight hundred twenty-four thousand, six hundred forty".