3536788320 has 384 divisors, whose sum is σ = 13533972480. Its totient is φ = 857364480.

The previous prime is 3536788309. The next prime is 3536788373. The reversal of 3536788320 is 238876353.

3536788320 is a `hidden beast` number, since 3 + 536 + 7 + 88 + 32 + 0 = 666.

3536788320 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 (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3986917 + ... + 3987803.

It is an arithmetic number, because the mean of its divisors is an integer number (35244720).

Almost surely, 2^3536788320 is an apocalyptic number.

3536788320 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 3536788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766986240).

3536788320 is an abundant number, since it is smaller than the sum of its proper divisors (9997184160).

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

3536788320 is a wasteful number, since it uses less digits than its factorization.

3536788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3536788320 is about 59470.9031375849. The cubic root of 3536788320 is about 1523.5955278532.

The spelling of 3536788320 in words is "three billion, five hundred thirty-six million, seven hundred eighty-eight thousand, three hundred twenty".