32338206720 has 672 divisors, whose sum is σ = 122841044640. Its totient is φ = 8169652224.

The previous prime is 32338206713. The next prime is 32338206751. The reversal of 32338206720 is 2760283323.

It is a happy number.

It is a super-2 number, since 2×32338206720² (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 zygodrome in base 2.

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, 1702010871 + ... + 1702010889.

Almost surely, 2^32338206720 is an apocalyptic number.

32338206720 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 32338206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61420522320).

32338206720 is an abundant number, since it is smaller than the sum of its proper divisors (90502837920).

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

32338206720 is an frugal number, since it uses more digits than its factorization.

32338206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 32338206720 in words is "thirty-two billion, three hundred thirty-eight million, two hundred six thousand, seven hundred twenty".