32994404352 has 768 divisors, whose sum is σ = 123282432000. Its totient is φ = 8488157184.

The previous prime is 32994404351. The next prime is 32994404393. The reversal of 32994404352 is 25340449923.

32994404352 is a `hidden beast` number, since 3 + 299 + 4 + 4 + 0 + 4 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 32994404298 and 32994404307.

It is not an unprimeable number, because it can be changed into a prime (32994404351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397522903 + ... + 397522985.

It is an arithmetic number, because the mean of its divisors is an integer number (160524000).

Almost surely, 2^32994404352 is an apocalyptic number.

32994404352 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 32994404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216000).

32994404352 is an abundant number, since it is smaller than the sum of its proper divisors (90288027648).

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

32994404352 is a wasteful number, since it uses less digits than its factorization.

32994404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 32994404352 in words is "thirty-two billion, nine hundred ninety-four million, four hundred four thousand, three hundred fifty-two".