35882506920 has 128 divisors (see below), whose sum is σ = 115976448000. Its totient is φ = 8828934144.

The previous prime is 35882506879. The next prime is 35882506927. The reversal of 35882506920 is 2960528853.

It is a self number, because there is not a number n which added to its sum of digits gives 35882506920.

It is not an unprimeable number, because it can be changed into a prime (35882506927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7474681 + ... + 7479479.

It is an arithmetic number, because the mean of its divisors is an integer number (906066000).

Almost surely, 2^35882506920 is an apocalyptic number.

35882506920 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 35882506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57988224000).

35882506920 is an abundant number, since it is smaller than the sum of its proper divisors (80093941080).

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

35882506920 is a wasteful number, since it uses less digits than its factorization.

35882506920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9619 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 35882506920 in words is "thirty-five billion, eight hundred eighty-two million, five hundred six thousand, nine hundred twenty".