35738823680 has 352 divisors, whose sum is σ = 106525224960. Its totient is φ = 11227299840.

The previous prime is 35738823647. The next prime is 35738823689. The reversal of 35738823680 is 8632883753.

It is not an unprimeable number, because it can be changed into a prime (35738823689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21108914 + ... + 21110606.

It is an arithmetic number, because the mean of its divisors is an integer number (302628480).

Almost surely, 2^35738823680 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 35738823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53262612480).

35738823680 is an abundant number, since it is smaller than the sum of its proper divisors (70786401280).

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

35738823680 is a wasteful number, since it uses less digits than its factorization.

35738823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 35738823680 in words is "thirty-five billion, seven hundred thirty-eight million, eight hundred twenty-three thousand, six hundred eighty".