3333104400 has 120 divisors (see below), whose sum is σ = 10700681184. Its totient is φ = 886860800.

The previous prime is 3333104339. The next prime is 3333104429. The reversal of 3333104400 is 44013333.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3333104400² = 22219169882598720000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 586372 + ... + 592028.

Almost surely, 2^3333104400 is an apocalyptic number.

3333104400 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 3333104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350340592).

3333104400 is an abundant number, since it is smaller than the sum of its proper divisors (7367576784).

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

3333104400 is a wasteful number, since it uses less digits than its factorization.

3333104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3333104400 is about 57733.0442640954. The cubic root of 3333104400 is about 1493.7673833052.

Adding to 3333104400 its reverse (44013333), we get a palindrome (3377117733).

The spelling of 3333104400 in words is "three billion, three hundred thirty-three million, one hundred four thousand, four hundred".