32070881340 has 384 divisors, whose sum is σ = 106299648000. Its totient is φ = 8014712832.

The previous prime is 32070881291. The next prime is 32070881383. The reversal of 32070881340 is 4318807023.

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

It is a junction number, because it is equal to n+sod(n) for n = 32070881295 and 32070881304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95165652 + ... + 95165988.

It is an arithmetic number, because the mean of its divisors is an integer number (276822000).

Almost surely, 2^32070881340 is an apocalyptic number.

32070881340 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 32070881340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53149824000).

32070881340 is an abundant number, since it is smaller than the sum of its proper divisors (74228766660).

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

32070881340 is a wasteful number, since it uses less digits than its factorization.

32070881340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 32070881340 in words is "thirty-two billion, seventy million, eight hundred eighty-one thousand, three hundred forty".