32314611840 has 512 divisors, whose sum is σ = 128966515200. Its totient is φ = 6710624256.

The previous prime is 32314611803. The next prime is 32314611841. The reversal of 32314611840 is 4811641323.

It is not an unprimeable number, because it can be changed into a prime (32314611841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6623482 + ... + 6628358.

It is an arithmetic number, because the mean of its divisors is an integer number (251887725).

Almost surely, 2^32314611840 is an apocalyptic number.

32314611840 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 32314611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64483257600).

32314611840 is an abundant number, since it is smaller than the sum of its proper divisors (96651903360).

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

32314611840 is a wasteful number, since it uses less digits than its factorization.

32314611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4940 counting only the distinct ones).

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

The spelling of 32314611840 in words is "thirty-two billion, three hundred fourteen million, six hundred eleven thousand, eight hundred forty".