3375884160 has 192 divisors, whose sum is σ = 12717347760. Its totient is φ = 818380800.

The previous prime is 3375884137. The next prime is 3375884167. The reversal of 3375884160 is 614885733.

3375884160 is a `hidden beast` number, since 3 + 3 + 7 + 588 + 4 + 1 + 60 = 666.

3375884160 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 (192).

It is a super-2 number, since 2×3375884160² = 22793187723477811200, 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 not an unprimeable number, because it can be changed into a prime (3375884167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36720 + ... + 90000.

Almost surely, 2^3375884160 is an apocalyptic number.

3375884160 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 3375884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358673880).

3375884160 is an abundant number, since it is smaller than the sum of its proper divisors (9341463600).

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

3375884160 is a wasteful number, since it uses less digits than its factorization.

3375884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53317 (or 53302 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3375884160 is about 58102.3593324746. The cubic root of 3375884160 is about 1500.1309752300.

The spelling of 3375884160 in words is "three billion, three hundred seventy-five million, eight hundred eighty-four thousand, one hundred sixty".