3603623040 has 256 divisors, whose sum is σ = 12888720000. Its totient is φ = 951496704.

The previous prime is 3603623039. The next prime is 3603623047. The reversal of 3603623040 is 403263063.

3603623040 is a `hidden beast` number, since 36 + 0 + 3 + 623 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3603622995 and 3603623013.

It is not an unprimeable number, because it can be changed into a prime (3603623047) 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, 1847986 + ... + 1849934.

Almost surely, 2^3603623040 is an apocalyptic number.

3603623040 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 3603623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444360000).

3603623040 is an abundant number, since it is smaller than the sum of its proper divisors (9285096960).

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

3603623040 is a wasteful number, since it uses less digits than its factorization.

3603623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3603623040 is about 60030.1844075129. The cubic root of 3603623040 is about 1533.1328349476.

The spelling of 3603623040 in words is "three billion, six hundred three million, six hundred twenty-three thousand, forty".