3536023680 has 1024 divisors, whose sum is σ = 15792537600. Its totient is φ = 729907200.

The previous prime is 3536023669. The next prime is 3536023693. The reversal of 3536023680 is 863206353.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86244460 + ... + 86244500.

It is an arithmetic number, because the mean of its divisors is an integer number (15422400).

Almost surely, 2^3536023680 is an apocalyptic number.

3536023680 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 3536023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896268800).

3536023680 is an abundant number, since it is smaller than the sum of its proper divisors (12256513920).

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

3536023680 is a wasteful number, since it uses less digits than its factorization.

3536023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3536023680 is about 59464.4741000877. The cubic root of 3536023680 is about 1523.4857214464.

The spelling of 3536023680 in words is "three billion, five hundred thirty-six million, twenty-three thousand, six hundred eighty".