32438853972 has 288 divisors, whose sum is σ = 99745914240. Its totient is φ = 9088934400.

The previous prime is 32438853961. The next prime is 32438853973. The reversal of 32438853972 is 27935883423.

32438853972 is a `hidden beast` number, since 3 + 2 + 4 + 38 + 8 + 539 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32438853973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73225183 + ... + 73225625.

It is an arithmetic number, because the mean of its divisors is an integer number (346339980).

Almost surely, 2^32438853972 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 32438853972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49872957120).

32438853972 is an abundant number, since it is smaller than the sum of its proper divisors (67307060268).

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

32438853972 is a wasteful number, since it uses less digits than its factorization.

32438853972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 32438853972 in words is "thirty-two billion, four hundred thirty-eight million, eight hundred fifty-three thousand, nine hundred seventy-two".