31821421632 has 896 divisors, whose sum is σ = 120164352000. Its totient is φ = 7315660800.

The previous prime is 31821421609. The next prime is 31821421691. The reversal of 31821421632 is 23612412813.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31821421593 and 31821421602.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291939594 + ... + 291939702.

It is an arithmetic number, because the mean of its divisors is an integer number (134112000).

Almost surely, 2^31821421632 is an apocalyptic number.

31821421632 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 31821421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082176000).

31821421632 is an abundant number, since it is smaller than the sum of its proper divisors (88342930368).

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

31821421632 is a wasteful number, since it uses less digits than its factorization.

31821421632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The spelling of 31821421632 in words is "thirty-one billion, eight hundred twenty-one million, four hundred twenty-one thousand, six hundred thirty-two".