3405801920 has 112 divisors (see below), whose sum is σ = 8274698208. Its totient is φ = 1334968320.

The previous prime is 3405801907. The next prime is 3405801923. The reversal of 3405801920 is 291085043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405801923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3507035 + ... + 3508005.

It is an arithmetic number, because the mean of its divisors is an integer number (73881234).

Almost surely, 2^3405801920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137349104).

3405801920 is an abundant number, since it is smaller than the sum of its proper divisors (4868896288).

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

3405801920 is a wasteful number, since it uses less digits than its factorization.

3405801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 3405801920 is about 58359.2487957136. The cubic root of 3405801920 is about 1504.5494352171.

Adding to 3405801920 its reverse (291085043), we get a palindrome (3696886963).

The spelling of 3405801920 in words is "three billion, four hundred five million, eight hundred one thousand, nine hundred twenty".