32949967072 has 96 divisors (see below), whose sum is σ = 75562502400. Its totient is φ = 13992760320.

The previous prime is 32949967007. The next prime is 32949967093. The reversal of 32949967072 is 27076994923.

It is a super-3 number, since 3×32949967072³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32949966998 and 32949967016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300804 + ... + 395452.

It is an arithmetic number, because the mean of its divisors is an integer number (787109400).

Almost surely, 2^32949967072 is an apocalyptic number.

32949967072 is a gapful number since it is divisible by the number (32) 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 32949967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37781251200).

32949967072 is an abundant number, since it is smaller than the sum of its proper divisors (42612535328).

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

32949967072 is a wasteful number, since it uses less digits than its factorization.

32949967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94736 (or 94728 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 32949967072 in words is "thirty-two billion, nine hundred forty-nine million, nine hundred sixty-seven thousand, seventy-two".