3405419680 has 48 divisors (see below), whose sum is σ = 8664178824. Its totient is φ = 1257384960.

The previous prime is 3405419671. The next prime is 3405419683. The reversal of 3405419680 is 869145043.

It can be written as a sum of positive squares in 4 ways, for example, as 1924401424 + 1481018256 = 43868^2 + 38484^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3405419683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816531 + ... + 820690.

Almost surely, 2^3405419680 is an apocalyptic number.

It is an amenable number.

3405419680 is an abundant number, since it is smaller than the sum of its proper divisors (5258759144).

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

3405419680 is a wasteful number, since it uses less digits than its factorization.

3405419680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637249 (or 1637241 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 3405419680 is about 58355.9738158828. The cubic root of 3405419680 is about 1504.4931469081.

The spelling of 3405419680 in words is "three billion, four hundred five million, four hundred nineteen thousand, six hundred eighty".