3391580160 has 576 divisors, whose sum is σ = 12878611200. Its totient is φ = 854654976.

The previous prime is 3391580117. The next prime is 3391580209. The reversal of 3391580160 is 610851933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72161257 + ... + 72161303.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2^3391580160 is an apocalyptic number.

3391580160 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 3391580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439305600).

3391580160 is an abundant number, since it is smaller than the sum of its proper divisors (9487031040).

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

3391580160 is an equidigital number, since it uses as much as digits as its factorization.

3391580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3391580160 is about 58237.2746615087. The cubic root of 3391580160 is about 1502.4523086035.

The spelling of 3391580160 in words is "three billion, three hundred ninety-one million, five hundred eighty thousand, one hundred sixty".