32982405120 has 416 divisors, whose sum is σ = 134023107840. Its totient is φ = 7537950720.

The previous prime is 32982405103. The next prime is 32982405133. The reversal of 32982405120 is 2150428923.

It is a happy number.

32982405120 is a `hidden beast` number, since 3 + 29 + 82 + 40 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3866460 + ... + 3874980.

Almost surely, 2^32982405120 is an apocalyptic number.

32982405120 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 32982405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67011553920).

32982405120 is an abundant number, since it is smaller than the sum of its proper divisors (101040702720).

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

32982405120 is an equidigital number, since it uses as much as digits as its factorization.

32982405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 32982405120 in words is "thirty-two billion, nine hundred eighty-two million, four hundred five thousand, one hundred twenty".