3482405640 has 96 divisors (see below), whose sum is σ = 12934658880. Its totient is φ = 795977856.

The previous prime is 3482405623. The next prime is 3482405699. The reversal of 3482405640 is 465042843.

3482405640 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 4 + 0 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3482405595 and 3482405604.

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, 688434 + ... + 693473.

It is an arithmetic number, because the mean of its divisors is an integer number (134736030).

Almost surely, 2^3482405640 is an apocalyptic number.

3482405640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3482405640 is an abundant number, since it is smaller than the sum of its proper divisors (9452253240).

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

3482405640 is a wasteful number, since it uses less digits than its factorization.

3482405640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381931 (or 1381924 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3482405640 is about 59011.9110010852. The cubic root of 3482405640 is about 1515.7460756870.

The spelling of 3482405640 in words is "three billion, four hundred eighty-two million, four hundred five thousand, six hundred forty".