3301361280 has 512 divisors, whose sum is σ = 13659840000. Its totient is φ = 753242112.

The previous prime is 3301361279. The next prime is 3301361293. The reversal of 3301361280 is 821631033.

It is a happy number.

3301361280 is a `hidden beast` number, since 3 + 30 + 13 + 612 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5926762 + ... + 5927318.

It is an arithmetic number, because the mean of its divisors is an integer number (26679375).

Almost surely, 2^3301361280 is an apocalyptic number.

3301361280 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 3301361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829920000).

3301361280 is an abundant number, since it is smaller than the sum of its proper divisors (10358478720).

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

3301361280 is an equidigital number, since it uses as much as digits as its factorization.

3301361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3301361280 is about 57457.4736653118. The cubic root of 3301361280 is about 1489.0102400864.

The spelling of 3301361280 in words is "three billion, three hundred one million, three hundred sixty-one thousand, two hundred eighty".