3536076800 has 180 divisors, whose sum is σ = 8959153140. Its totient is φ = 1384120320.

The previous prime is 3536076799. The next prime is 3536076827. The reversal of 3536076800 is 86706353.

It can be written as a sum of positive squares in 6 ways, for example, as 378535936 + 3157540864 = 19456^2 + 56192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36454352 + ... + 36454448.

It is an arithmetic number, because the mean of its divisors is an integer number (49773073).

Almost surely, 2^3536076800 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 3536076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479576570).

3536076800 is an abundant number, since it is smaller than the sum of its proper divisors (5423076340).

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

3536076800 is an frugal number, since it uses more digits than its factorization.

3536076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 3536076800 is about 59464.9207516499. The cubic root of 3536076800 is about 1523.4933502751.

The spelling of 3536076800 in words is "three billion, five hundred thirty-six million, seventy-six thousand, eight hundred".