3533856768 has 224 divisors, whose sum is σ = 11284610400. Its totient is φ = 1086455808.

The previous prime is 3533856757. The next prime is 3533856769. The reversal of 3533856768 is 8676583353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3533856769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874778 + ... + 2876006.

It is an arithmetic number, because the mean of its divisors is an integer number (50377725).

Almost surely, 2^3533856768 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 3533856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642305200).

3533856768 is an abundant number, since it is smaller than the sum of its proper divisors (7750753632).

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

3533856768 is a wasteful number, since it uses less digits than its factorization.

3533856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1247 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 3533856768 is about 59446.2510844881. The cubic root of 3533856768 is about 1523.1744552362.

The spelling of 3533856768 in words is "three billion, five hundred thirty-three million, eight hundred fifty-six thousand, seven hundred sixty-eight".