3538840104 has 168 divisors, whose sum is σ = 10231758810. Its totient is φ = 1146540096.

The previous prime is 3538840091. The next prime is 3538840133. The reversal of 3538840104 is 4010488353.

3538840104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2704208004 + 834632100 = 52002^2 + 28890^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 33073219 + ... + 33073325.

Almost surely, 2^3538840104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3538840104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115879405).

3538840104 is an abundant number, since it is smaller than the sum of its proper divisors (6692918706).

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

3538840104 is an equidigital number, since it uses as much as digits as its factorization.

3538840104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3538840104 is about 59488.1509546229. The cubic root of 3538840104 is about 1523.8900968547.

The spelling of 3538840104 in words is "three billion, five hundred thirty-eight million, eight hundred forty thousand, one hundred four".