3536288640 has 192 divisors, whose sum is σ = 12742647840. Its totient is φ = 901976064.

The previous prime is 3536288611. The next prime is 3536288741. The reversal of 3536288640 is 468826353.

It is a happy number.

3536288640 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 (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119134 + ... + 145826.

Almost surely, 2^3536288640 is an apocalyptic number.

3536288640 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 3536288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371323920).

3536288640 is an abundant number, since it is smaller than the sum of its proper divisors (9206359200).

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

3536288640 is a wasteful number, since it uses less digits than its factorization.

3536288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26741 (or 26726 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3536288640 is about 59466.7019431883. The cubic root of 3536288640 is about 1523.5237729162.

The spelling of 3536288640 in words is "three billion, five hundred thirty-six million, two hundred eighty-eight thousand, six hundred forty".