3331075104 has 168 divisors, whose sum is σ = 11237788800. Its totient is φ = 951689088.

The previous prime is 3331075063. The next prime is 3331075127. The reversal of 3331075104 is 4015701333.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3331075104² = 22192122696977221632, which 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 153097 + ... + 173495.

It is an arithmetic number, because the mean of its divisors is an integer number (66891600).

Almost surely, 2^3331075104 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 3331075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618894400).

3331075104 is an abundant number, since it is smaller than the sum of its proper divisors (7906713696).

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

3331075104 is an equidigital number, since it uses as much as digits as its factorization.

3331075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20434 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3331075104 is about 57715.4667658506. The cubic root of 3331075104 is about 1493.4641713240.

Adding to 3331075104 its reverse (4015701333), we get a palindrome (7346776437).

The spelling of 3331075104 in words is "three billion, three hundred thirty-one million, seventy-five thousand, one hundred four".