3381295104 has 480 divisors, whose sum is σ = 11772961200. Its totient is φ = 955514880.

The previous prime is 3381295039. The next prime is 3381295109. The reversal of 3381295104 is 4015921833.

It is a super-2 number, since 2×3381295104² = 22866313160668741632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381295109) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 31021002 + ... + 31021110.

Almost surely, 2^3381295104 is an apocalyptic number.

3381295104 is a gapful number since it is divisible by the number (34) 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 3381295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886480600).

3381295104 is an abundant number, since it is smaller than the sum of its proper divisors (8391666096).

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

3381295104 is a wasteful number, since it uses less digits than its factorization.

3381295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3381295104 is about 58148.9045812559. The cubic root of 3381295104 is about 1500.9320287616.

The spelling of 3381295104 in words is "three billion, three hundred eighty-one million, two hundred ninety-five thousand, one hundred four".