31982100480 has 672 divisors, whose sum is σ = 125506886400. Its totient is φ = 7720796160.

The previous prime is 31982100433. The next prime is 31982100503. The reversal of 31982100480 is 8400128913.

It is a super-2 number, since 2×31982100480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133816201 + ... + 133816439.

It is an arithmetic number, because the mean of its divisors is an integer number (186766200).

Almost surely, 2^31982100480 is an apocalyptic number.

31982100480 is a gapful number since it is divisible by the number (30) 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 31982100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62753443200).

31982100480 is an abundant number, since it is smaller than the sum of its proper divisors (93524785920).

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

31982100480 is a wasteful number, since it uses less digits than its factorization.

31982100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 31982100480 in words is "thirty-one billion, nine hundred eighty-two million, one hundred thousand, four hundred eighty".