3371805360 has 960 divisors, whose sum is σ = 15515673600. Its totient is φ = 656916480.

The previous prime is 3371805343. The next prime is 3371805361. The reversal of 3371805360 is 635081733.

3371805360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3371805360² = 22738142771449459200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3371805361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34760832 + ... + 34760928.

It is an arithmetic number, because the mean of its divisors is an integer number (16162160).

Almost surely, 2^3371805360 is an apocalyptic number.

3371805360 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 3371805360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757836800).

3371805360 is an abundant number, since it is smaller than the sum of its proper divisors (12143868240).

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

3371805360 is a wasteful number, since it uses less digits than its factorization.

3371805360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3371805360 is about 58067.2486002221. The cubic root of 3371805360 is about 1499.5265705921.

The spelling of 3371805360 in words is "three billion, three hundred seventy-one million, eight hundred five thousand, three hundred sixty".