32412323840 has 208 divisors, whose sum is σ = 85380756048. Its totient is φ = 11736711168.

The previous prime is 32412323819. The next prime is 32412323843. The reversal of 32412323840 is 4832321423.

It can be written as a sum of positive squares in 8 ways, for example, as 893292544 + 31519031296 = 29888^2 + 177536^2 .

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32412323797 and 32412323806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32412323843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14109572 + ... + 14111868.

Almost surely, 2^32412323840 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 32412323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42690378024).

32412323840 is an abundant number, since it is smaller than the sum of its proper divisors (52968432208).

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

32412323840 is a wasteful number, since it uses less digits than its factorization.

32412323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 32412323840 in words is "thirty-two billion, four hundred twelve million, three hundred twenty-three thousand, eight hundred forty".