32841952416 has 384 divisors, whose sum is σ = 118259688960. Its totient is φ = 8634802176.

The previous prime is 32841952391. The next prime is 32841952433. The reversal of 32841952416 is 61425914823.

32841952416 is a `hidden beast` number, since 32 + 84 + 1 + 9 + 524 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48510670 + ... + 48511346.

It is an arithmetic number, because the mean of its divisors is an integer number (307967940).

Almost surely, 2^32841952416 is an apocalyptic number.

32841952416 is a gapful number since it is divisible by the number (36) 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 32841952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59129844480).

32841952416 is an abundant number, since it is smaller than the sum of its proper divisors (85417736544).

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

32841952416 is a wasteful number, since it uses less digits than its factorization.

32841952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1319 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 32841952416 in words is "thirty-two billion, eight hundred forty-one million, nine hundred fifty-two thousand, four hundred sixteen".