3332606004 has 336 divisors, whose sum is σ = 11345514880. Its totient is φ = 831409920.

The previous prime is 3332605961. The next prime is 3332606041. The reversal of 3332606004 is 4006062333.

3332606004 is a `hidden beast` number, since 3 + 33 + 26 + 0 + 600 + 4 = 666.

It is a super-2 number, since 2×3332606004² = 22212525555793696032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5041434 + ... + 5042094.

Almost surely, 2^3332606004 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 3332606004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672757440).

3332606004 is an abundant number, since it is smaller than the sum of its proper divisors (8012908876).

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

3332606004 is a wasteful number, since it uses less digits than its factorization.

3332606004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 705 counting only the distinct ones).

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

The square root of 3332606004 is about 57728.7277185285. The cubic root of 3332606004 is about 1493.6929257115.

Adding to 3332606004 its reverse (4006062333), we get a palindrome (7338668337).

The spelling of 3332606004 in words is "three billion, three hundred thirty-two million, six hundred six thousand, four".