3538209640 has 192 divisors, whose sum is σ = 9811843200. Its totient is φ = 1145104128.

The previous prime is 3538209637. The next prime is 3538209671. The reversal of 3538209640 is 469028353.

3538209640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3538209593 and 3538209602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12773182 + ... + 12773458.

It is an arithmetic number, because the mean of its divisors is an integer number (51103350).

Almost surely, 2^3538209640 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 3538209640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905921600).

3538209640 is an abundant number, since it is smaller than the sum of its proper divisors (6273633560).

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

3538209640 is an equidigital number, since it uses as much as digits as its factorization.

3538209640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 3538209640 is about 59482.8516465040. The cubic root of 3538209640 is about 1523.7995949880.

The spelling of 3538209640 in words is "three billion, five hundred thirty-eight million, two hundred nine thousand, six hundred forty".