3536920442880 has 1344 divisors, whose sum is σ = 14617719043200. Its totient is φ = 811948769280.

The previous prime is 3536920442879. The next prime is 3536920442921. The reversal of 3536920442880 is 882440296353.

3536920442880 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 9 + 204 + 428 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1560175507 + ... + 1560177773.

It is an arithmetic number, because the mean of its divisors is an integer number (10876279050).

Almost surely, 2^{3536920442880} is an apocalyptic number.

3536920442880 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 3536920442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308859521600).

3536920442880 is an abundant number, since it is smaller than the sum of its proper divisors (11080798600320).

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

3536920442880 is a wasteful number, since it uses less digits than its factorization.

3536920442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3536920442880 in words is "three trillion, five hundred thirty-six billion, nine hundred twenty million, four hundred forty-two thousand, eight hundred eighty".