3380254560 has 144 divisors (see below), whose sum is σ = 11559103920. Its totient is φ = 899527680.

The previous prime is 3380254543. The next prime is 3380254571. The reversal of 3380254560 is 654520833.

It is a happy number.

3380254560 is a `hidden beast` number, since 33 + 80 + 2 + 545 + 6 + 0 = 666.

3380254560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3380254560² = 22852241780801587200, 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 23 ways as a sum of consecutive naturals, for example, 776871 + ... + 781209.

It is an arithmetic number, because the mean of its divisors is an integer number (80271555).

Almost surely, 2^3380254560 is an apocalyptic number.

3380254560 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 3380254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779551960).

3380254560 is an abundant number, since it is smaller than the sum of its proper divisors (8178849360).

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

3380254560 is a wasteful number, since it uses less digits than its factorization.

3380254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3380254560 is about 58139.9566563306. The cubic root of 3380254560 is about 1500.7780496893.

The spelling of 3380254560 in words is "three billion, three hundred eighty million, two hundred fifty-four thousand, five hundred sixty".