3621335040 has 520 divisors, whose sum is σ = 13558398480. Its totient is φ = 923664384.

The previous prime is 3621335033. The next prime is 3621335051. The reversal of 3621335040 is 405331263.

It is a happy number.

3621335040 is a `hidden beast` number, since 3 + 621 + 3 + 35 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3621335040² = 26228134943863603200, which contains 22 as substring.

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 = 3621334995 and 3621335013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61378531 + ... + 61378589.

Almost surely, 2^3621335040 is an apocalyptic number.

3621335040 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 3621335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779199240).

3621335040 is an abundant number, since it is smaller than the sum of its proper divisors (9937063440).

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

3621335040 is an equidigital number, since it uses as much as digits as its factorization.

3621335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3621335040 is about 60177.5293610497. The cubic root of 3621335040 is about 1535.6405408849.

It can be divided in two parts, 36213 and 35040, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 3621335040 in words is "three billion, six hundred twenty-one million, three hundred thirty-five thousand, forty".