3536690880 has 224 divisors, whose sum is σ = 12212945856. Its totient is φ = 863502336.

The previous prime is 3536690819. The next prime is 3536690909. The reversal of 3536690880 is 880966353.

3536690880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3536690880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600912 + ... + 606768.

Almost surely, 2^3536690880 is an apocalyptic number.

3536690880 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 3536690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106472928).

3536690880 is an abundant number, since it is smaller than the sum of its proper divisors (8676254976).

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

3536690880 is a wasteful number, since it uses less digits than its factorization.

3536690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3536690880 is about 59470.0839077935. The cubic root of 3536690880 is about 1523.5815358263.

The spelling of 3536690880 in words is "three billion, five hundred thirty-six million, six hundred ninety thousand, eight hundred eighty".