3332812800240 has 1800 divisors, whose sum is σ = 14905187256960. Its totient is φ = 687654696960.

The previous prime is 3332812800227. The next prime is 3332812800259. The reversal of 3332812800240 is 420082182333.

3332812800240 is a `hidden beast` number, since 3 + 3 + 328 + 12 + 80 + 0 + 240 = 666.

It is a super-2 number, since 2×3332812800240² (a number of 26 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 = 3332812800195 and 3332812800204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8567641966 + ... + 8567642354.

Almost surely, 2^{3332812800240} is an apocalyptic number.

3332812800240 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 3332812800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452593628480).

3332812800240 is an abundant number, since it is smaller than the sum of its proper divisors (11572374456720).

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

3332812800240 is a wasteful number, since it uses less digits than its factorization.

3332812800240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 3332812800240 its reverse (420082182333), we get a palindrome (3752894982573).

The spelling of 3332812800240 in words is "three trillion, three hundred thirty-two billion, eight hundred twelve million, eight hundred thousand, two hundred forty".