3308480400 has 120 divisors (see below), whose sum is σ = 10823842944. Its totient is φ = 863475200.

The previous prime is 3308480389. The next prime is 3308480419. The reversal of 3308480400 is 40848033.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 27070 + ... + 85730.

Almost surely, 2^3308480400 is an apocalyptic number.

3308480400 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 3308480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411921472).

3308480400 is an abundant number, since it is smaller than the sum of its proper divisors (7515362544).

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

3308480400 is a wasteful number, since it uses less digits than its factorization.

3308480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58729 (or 58718 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3308480400 is about 57519.3915127759. The cubic root of 3308480400 is about 1490.0797819238.

The spelling of 3308480400 in words is "three billion, three hundred eight million, four hundred eighty thousand, four hundred".