3380261760 has 256 divisors, whose sum is σ = 12044160000. Its totient is φ = 895961088.

The previous prime is 3380261711. The next prime is 3380261803. The reversal of 3380261760 is 671620833.

It is a happy number.

3380261760 is a `hidden beast` number, since 3 + 38 + 0 + 2 + 617 + 6 + 0 = 666.

It is a super-2 number, since 2×3380261760² = 22852339132236595200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438229 + ... + 3439211.

It is an arithmetic number, because the mean of its divisors is an integer number (47047500).

Almost surely, 2^3380261760 is an apocalyptic number.

3380261760 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 3380261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022080000).

3380261760 is an abundant number, since it is smaller than the sum of its proper divisors (8663898240).

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

3380261760 is a wasteful number, since it uses less digits than its factorization.

3380261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3380261760 is about 58140.0185758484. The cubic root of 3380261760 is about 1500.7791152496.

The spelling of 3380261760 in words is "three billion, three hundred eighty million, two hundred sixty-one thousand, seven hundred sixty".