3536905344 has 256 divisors, whose sum is σ = 11186380800. Its totient is φ = 969154560.

The previous prime is 3536905327. The next prime is 3536905349. The reversal of 3536905344 is 4435096353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3536905296 and 3536905305.

It is not an unprimeable number, because it can be changed into a prime (3536905349) 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, 7383697 + ... + 7384175.

It is an arithmetic number, because the mean of its divisors is an integer number (43696800).

Almost surely, 2^3536905344 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 3536905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593190400).

3536905344 is an abundant number, since it is smaller than the sum of its proper divisors (7649475456).

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

3536905344 is a wasteful number, since it uses less digits than its factorization.

3536905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The square root of 3536905344 is about 59471.8870055424. The cubic root of 3536905344 is about 1523.6123317310.

The spelling of 3536905344 in words is "three billion, five hundred thirty-six million, nine hundred five thousand, three hundred forty-four".