39282240000 has 800 divisors, whose sum is σ = 144963846720. Its totient is φ = 9404416000.

The previous prime is 39282239993. The next prime is 39282240071. The reversal of 39282240000 is 4228293.

It is a tau number, because it is divible by the number of its divisors (800).

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 39282240000.

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, 473279959 + ... + 473280041.

Almost surely, 2^39282240000 is an apocalyptic number.

39282240000 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 39282240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72481923360).

39282240000 is an abundant number, since it is smaller than the sum of its proper divisors (105681606720).

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

39282240000 is an equidigital number, since it uses as much as digits as its factorization.

39282240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 39282240000 its reverse (4228293), we get a palindrome (39286468293).

The spelling of 39282240000 in words is "thirty-nine billion, two hundred eighty-two million, two hundred forty thousand".