3375584160 has 192 divisors, whose sum is σ = 11499304320. Its totient is φ = 827412480.

The previous prime is 3375584129. The next prime is 3375584183. The reversal of 3375584160 is 614855733.

It is a super-2 number, since 2×3375584160² = 22789136842485811200, which contains 22 as substring.

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, 1677555 + ... + 1679565.

It is an arithmetic number, because the mean of its divisors is an integer number (59892210).

Almost surely, 2^3375584160 is an apocalyptic number.

3375584160 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 3375584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749652160).

3375584160 is an abundant number, since it is smaller than the sum of its proper divisors (8123720160).

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

3375584160 is a wasteful number, since it uses less digits than its factorization.

3375584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 3375584160 is about 58099.7776243593. Note that the first 3 decimals coincide. The cubic root of 3375584160 is about 1500.0865372297.

The spelling of 3375584160 in words is "three billion, three hundred seventy-five million, five hundred eighty-four thousand, one hundred sixty".