3332031413004 has 288 divisors, whose sum is σ = 10268182020096. Its totient is φ = 924985293120.

The previous prime is 3332031412951. The next prime is 3332031413033. The reversal of 3332031413004 is 4003141302333.

3332031413004 is a `hidden beast` number, since 3 + 3 + 320 + 31 + 4 + 1 + 300 + 4 = 666.

It is a super-2 number, since 2×3332031413004² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 55851439 + ... + 55911065.

It is an arithmetic number, because the mean of its divisors is an integer number (35653409792).

Almost surely, 2^{3332031413004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332031413004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134091010048).

3332031413004 is an abundant number, since it is smaller than the sum of its proper divisors (6936150607092).

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

3332031413004 is a wasteful number, since it uses less digits than its factorization.

3332031413004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59887 (or 59873 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3332031413004 its reverse (4003141302333), we get a palindrome (7335172715337).

The spelling of 3332031413004 in words is "three trillion, three hundred thirty-two billion, thirty-one million, four hundred thirteen thousand, four".