32434281504 has 144 divisors (see below), whose sum is σ = 97791646680. Its totient is φ = 10161807360.

The previous prime is 32434281497. The next prime is 32434281527. The reversal of 32434281504 is 40518243423.

32434281504 is a `hidden beast` number, since 32 + 4 + 3 + 42 + 81 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17950640400 + 14483641104 = 133980^2 + 120348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4015582 + ... + 4023650.

Almost surely, 2^32434281504 is an apocalyptic number.

32434281504 is a gapful number since it is divisible by the number (34) 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 32434281504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48895823340).

32434281504 is an abundant number, since it is smaller than the sum of its proper divisors (65357365176).

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

32434281504 is a wasteful number, since it uses less digits than its factorization.

32434281504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 32434281504 in words is "thirty-two billion, four hundred thirty-four million, two hundred eighty-one thousand, five hundred four".