32985344880 has 240 divisors, whose sum is σ = 115211896800. Its totient is φ = 8770581504.

The previous prime is 32985344863. The next prime is 32985344893. The reversal of 32985344880 is 8844358923.

32985344880 is a `hidden beast` number, since 3 + 29 + 8 + 534 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7248846 + ... + 7253394.

It is an arithmetic number, because the mean of its divisors is an integer number (480049570).

Almost surely, 2^32985344880 is an apocalyptic number.

32985344880 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 32985344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57605948400).

32985344880 is an abundant number, since it is smaller than the sum of its proper divisors (82226551920).

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

32985344880 is a wasteful number, since it uses less digits than its factorization.

32985344880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 32985344880 in words is "thirty-two billion, nine hundred eighty-five million, three hundred forty-four thousand, eight hundred eighty".