32576828340 has 384 divisors, whose sum is σ = 114011089920. Its totient is φ = 6779731968.

The previous prime is 32576828279. The next prime is 32576828369. The reversal of 32576828340 is 4382867523.

It is a happy number.

It is a super-2 number, since 2×32576828340² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32576828340.

It is a congruent number.

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, 83744866 + ... + 83745254.

It is an arithmetic number, because the mean of its divisors is an integer number (296903880).

Almost surely, 2^32576828340 is an apocalyptic number.

32576828340 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 32576828340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57005544960).

32576828340 is an abundant number, since it is smaller than the sum of its proper divisors (81434261580).

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

32576828340 is a wasteful number, since it uses less digits than its factorization.

32576828340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 32576828340 in words is "thirty-two billion, five hundred seventy-six million, eight hundred twenty-eight thousand, three hundred forty".