3378850560 has 432 divisors, whose sum is σ = 12627014400. Its totient is φ = 831430656.

The previous prime is 3378850543. The next prime is 3378850577. The reversal of 3378850560 is 650588733.

3378850560 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 85 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3378850543) and next prime (3378850577).

It is a super-2 number, since 2×3378850560² = 22833262213624627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9411661 + ... + 9412019.

It is an arithmetic number, because the mean of its divisors is an integer number (29229200).

Almost surely, 2^3378850560 is an apocalyptic number.

3378850560 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 3378850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313507200).

3378850560 is an abundant number, since it is smaller than the sum of its proper divisors (9248163840).

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

3378850560 is a wasteful number, since it uses less digits than its factorization.

3378850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3378850560 is about 58127.8810898866. The cubic root of 3378850560 is about 1500.5702365261.

It can be divided in two parts, 33788 and 50560, that added together give a palindrome (84348).

The spelling of 3378850560 in words is "three billion, three hundred seventy-eight million, eight hundred fifty thousand, five hundred sixty".