32938334520 has 256 divisors, whose sum is σ = 125542932480. Its totient is φ = 6725376000.

The previous prime is 32938334491. The next prime is 32938334521. The reversal of 32938334520 is 2543383923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32938334521) 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, 289870 + ... + 387170.

It is an arithmetic number, because the mean of its divisors is an integer number (490402080).

Almost surely, 2^32938334520 is an apocalyptic number.

32938334520 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 32938334520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62771466240).

32938334520 is an abundant number, since it is smaller than the sum of its proper divisors (92604597960).

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

32938334520 is a wasteful number, since it uses less digits than its factorization.

32938334520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97366 (or 97362 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 32938334520 in words is "thirty-two billion, nine hundred thirty-eight million, three hundred thirty-four thousand, five hundred twenty".