3405387180 has 144 divisors (see below), whose sum is σ = 10391963904. Its totient is φ = 832815360.

The previous prime is 3405387137. The next prime is 3405387191. The reversal of 3405387180 is 817835043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692375 + ... + 1694385.

It is an arithmetic number, because the mean of its divisors is an integer number (72166416).

Almost surely, 2^3405387180 is an apocalyptic number.

3405387180 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 3405387180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195981952).

3405387180 is an abundant number, since it is smaller than the sum of its proper divisors (6986576724).

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

3405387180 is a wasteful number, since it uses less digits than its factorization.

3405387180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 3405387180 is about 58355.6953518678. The cubic root of 3405387180 is about 1504.4883607938.

The spelling of 3405387180 in words is "three billion, four hundred five million, three hundred eighty-seven thousand, one hundred eighty".