3304007280 has 960 divisors, whose sum is σ = 14656204800. Its totient is φ = 679311360.

The previous prime is 3304007279. The next prime is 3304007327. The reversal of 3304007280 is 827004033.

3304007280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62339734 + ... + 62339786.

It is an arithmetic number, because the mean of its divisors is an integer number (15266880).

Almost surely, 2^3304007280 is an apocalyptic number.

3304007280 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 3304007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328102400).

3304007280 is an abundant number, since it is smaller than the sum of its proper divisors (11352197520).

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

3304007280 is a wasteful number, since it uses less digits than its factorization.

3304007280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3304007280 is about 57480.4947786638. The cubic root of 3304007280 is about 1489.4079415829.

The spelling of 3304007280 in words is "three billion, three hundred four million, seven thousand, two hundred eighty".