3405905224290 has 48 divisors (see below), whose sum is σ = 8855790161400. Its totient is φ = 908196615936.

The previous prime is 3405905224237. The next prime is 3405905224301. The reversal of 3405905224290 is 924225095043.

3405905224290 is a `hidden beast` number, since 3 + 4 + 0 + 590 + 52 + 2 + 4 + 2 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1461746286729 + 1944158937561 = 1209027^2 + 1394331^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923206 + ... + 2768414.

Almost surely, 2^{3405905224290} is an apocalyptic number.

3405905224290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3405905224290 is an abundant number, since it is smaller than the sum of its proper divisors (5449884937110).

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

3405905224290 is a wasteful number, since it uses less digits than its factorization.

3405905224290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865731 (or 1865728 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3405905224290 in words is "three trillion, four hundred five billion, nine hundred five million, two hundred twenty-four thousand, two hundred ninety".