32906983824 has 480 divisors, whose sum is σ = 111805843968. Its totient is φ = 8976844800.

The previous prime is 32906983787. The next prime is 32906983829. The reversal of 32906983824 is 42838960923.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32906983829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117106564 + ... + 117106844.

Almost surely, 2^32906983824 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 32906983824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55902921984).

32906983824 is an abundant number, since it is smaller than the sum of its proper divisors (78898860144).

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

32906983824 is a wasteful number, since it uses less digits than its factorization.

32906983824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 32906983824 in words is "thirty-two billion, nine hundred six million, nine hundred eighty-three thousand, eight hundred twenty-four".