3340904100 has 144 divisors (see below), whose sum is σ = 10412666880. Its totient is φ = 824630400.

The previous prime is 3340904051. The next prime is 3340904101. The reversal of 3340904100 is 14090433.

It is a super-2 number, since 2×3340904100² = 22323280410793620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340904101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 206091 + ... + 221709.

Almost surely, 2^3340904100 is an apocalyptic number.

3340904100 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 3340904100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206333440).

3340904100 is an abundant number, since it is smaller than the sum of its proper divisors (7071762780).

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

3340904100 is a wasteful number, since it uses less digits than its factorization.

3340904100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15683 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3340904100 is about 57800.5544956102. The cubic root of 3340904100 is about 1494.9316493920.

Adding to 3340904100 its reverse (14090433), we get a palindrome (3354994533).

The spelling of 3340904100 in words is "three billion, three hundred forty million, nine hundred four thousand, one hundred".