3705344160 has 192 divisors, whose sum is σ = 13919496192. Its totient is φ = 810095616.

The previous prime is 3705344131. The next prime is 3705344171. The reversal of 3705344160 is 614435073.

It is a super-2 number, since 2×3705344160² = 27459150688092211200, 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, 53307 + ... + 101253.

It is an arithmetic number, because the mean of its divisors is an integer number (72497376).

Almost surely, 2^3705344160 is an apocalyptic number.

3705344160 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 3705344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959748096).

3705344160 is an abundant number, since it is smaller than the sum of its proper divisors (10214152032).

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

3705344160 is a wasteful number, since it uses less digits than its factorization.

3705344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47995 (or 47987 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3705344160 is about 60871.5381767210. The cubic root of 3705344160 is about 1547.4246738624.

The spelling of 3705344160 in words is "three billion, seven hundred five million, three hundred forty-four thousand, one hundred sixty".