3304340400 has 120 divisors (see below), whose sum is σ = 10605196224. Its totient is φ = 879468800.

The previous prime is 3304340393. The next prime is 3304340411. The reversal of 3304340400 is 40434033.

3304340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702055 + ... + 706745.

Almost surely, 2^3304340400 is an apocalyptic number.

3304340400 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 3304340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302598112).

3304340400 is an abundant number, since it is smaller than the sum of its proper divisors (7300855824).

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

3304340400 is a wasteful number, since it uses less digits than its factorization.

3304340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3304340400 is about 57483.3923842356. The cubic root of 3304340400 is about 1489.4579954374.

Adding to 3304340400 its reverse (40434033), we get a palindrome (3344774433).

The spelling of 3304340400 in words is "three billion, three hundred four million, three hundred forty thousand, four hundred".