3301378560 has 560 divisors, whose sum is σ = 12478431240. Its totient is φ = 836075520.

The previous prime is 3301378543. The next prime is 3301378601. The reversal of 3301378560 is 658731033.

It can be written as a sum of positive squares in 4 ways, for example, as 1755945216 + 1545433344 = 41904^2 + 39312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54120930 + ... + 54120990.

Almost surely, 2^3301378560 is an apocalyptic number.

3301378560 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 3301378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239215620).

3301378560 is an abundant number, since it is smaller than the sum of its proper divisors (9177052680).

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

3301378560 is an frugal number, since it uses more digits than its factorization.

3301378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3301378560 is about 57457.6240371981. The cubic root of 3301378560 is about 1489.0128380099.

The spelling of 3301378560 in words is "three billion, three hundred one million, three hundred seventy-eight thousand, five hundred sixty".