3538909440 has 720 divisors, whose sum is σ = 14423935680. Its totient is φ = 820592640.

The previous prime is 3538909369. The next prime is 3538909441. The reversal of 3538909440 is 449098353.

It is a happy number.

3538909440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3538909440² = 25047760049042227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3538909441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33073867 + ... + 33073973.

It is an arithmetic number, because the mean of its divisors is an integer number (20033244).

Almost surely, 2^3538909440 is an apocalyptic number.

3538909440 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 3538909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211967840).

3538909440 is an abundant number, since it is smaller than the sum of its proper divisors (10885026240).

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

3538909440 is a wasteful number, since it uses less digits than its factorization.

3538909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3538909440 is about 59488.7337232858. The cubic root of 3538909440 is about 1523.9000492450.

The spelling of 3538909440 in words is "three billion, five hundred thirty-eight million, nine hundred nine thousand, four hundred forty".