3332388003840 has 1568 divisors, whose sum is σ = 13924186934400. Its totient is φ = 749505871872.

The previous prime is 3332388003803. The next prime is 3332388003853. The reversal of 3332388003840 is 483008832333.

3332388003840 is a `hidden beast` number, since 3 + 33 + 238 + 8 + 0 + 0 + 384 + 0 = 666.

It is a super-2 number, since 2×3332388003840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 22365020086 + ... + 22365020234.

Almost surely, 2^{3332388003840} is an apocalyptic number.

3332388003840 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 3332388003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962093467200).

3332388003840 is an abundant number, since it is smaller than the sum of its proper divisors (10591798930560).

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

3332388003840 is an equidigital number, since it uses as much as digits as its factorization.

3332388003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3332388003840 in words is "three trillion, three hundred thirty-two billion, three hundred eighty-eight million, three thousand, eight hundred forty".