332612642340 has 288 divisors, whose sum is σ = 1141545000960. Its totient is φ = 77651481600.

The previous prime is 332612642309. The next prime is 332612642353. The reversal of 332612642340 is 43246216233.

332612642340 is a `hidden beast` number, since 3 + 3 + 2 + 6 + 1 + 2 + 642 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×332612642340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 332612642295 and 332612642304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22788445 + ... + 22803035.

It is an arithmetic number, because the mean of its divisors is an integer number (3963697920).

Almost surely, 2^332612642340 is an apocalyptic number.

332612642340 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 332612642340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570772500480).

332612642340 is an abundant number, since it is smaller than the sum of its proper divisors (808932358620).

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

332612642340 is a wasteful number, since it uses less digits than its factorization.

332612642340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 332612642340 its reverse (43246216233), we get a palindrome (375858858573).

The spelling of 332612642340 in words is "three hundred thirty-two billion, six hundred twelve million, six hundred forty-two thousand, three hundred forty".