32340534240000 has 720 divisors, whose sum is σ = 126887694940160. Its totient is φ = 7153643520000.

The previous prime is 32340534239941. The next prime is 32340534240013. The reversal of 32340534240000 is 4243504323.

It is a super-2 number, since 2×32340534240000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 32340534240000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104004756 + ... + 104315244.

Almost surely, 2^{32340534240000} is an apocalyptic number.

32340534240000 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 32340534240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63443847470080).

32340534240000 is an abundant number, since it is smaller than the sum of its proper divisors (94547160700160).

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

32340534240000 is an equidigital number, since it uses as much as digits as its factorization.

32340534240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310566 (or 310537 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 32340534240000 its reverse (4243504323), we get a palindrome (32344777744323).

The spelling of 32340534240000 in words is "thirty-two trillion, three hundred forty billion, five hundred thirty-four million, two hundred forty thousand".