3405577890 has 64 divisors (see below), whose sum is σ = 9602312832. Its totient is φ = 762086400.

The previous prime is 3405577873. The next prime is 3405577951. The reversal of 3405577890 is 987755043.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

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, 392631 + ... + 401210.

It is an arithmetic number, because the mean of its divisors is an integer number (150036138).

Almost surely, 2^3405577890 is an apocalyptic number.

3405577890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3405577890 is an abundant number, since it is smaller than the sum of its proper divisors (6196734942).

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

3405577890 is a wasteful number, since it uses less digits than its factorization.

3405577890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793875.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 3405577890 is about 58357.3293597300. The cubic root of 3405577890 is about 1504.5164452773.

The spelling of 3405577890 in words is "three billion, four hundred five million, five hundred seventy-seven thousand, eight hundred ninety".