3486782145 has 64 divisors (see below), whose sum is σ = 6997487616. Its totient is φ = 1440295680.

The previous prime is 3486782119. The next prime is 3486782153. The reversal of 3486782145 is 5412876843.

It is not a de Polignac number, because 3486782145 - 2⁶ = 3486782081 is a prime.

It is a super-4 number, since 4×3486782145⁴ (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3486782094 and 3486782103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183847 + ... + 201923.

It is an arithmetic number, because the mean of its divisors is an integer number (109335744).

Almost surely, 2^3486782145 is an apocalyptic number.

3486782145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3486782145 is an abundant number, since it is smaller than the sum of its proper divisors (3510705471).

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

3486782145 is a wasteful number, since it uses less digits than its factorization.

3486782145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270.

The product of its digits is 1290240, while the sum is 48.

The square root of 3486782145 is about 59048.9808972179. The cubic root of 3486782145 is about 1516.3807799646.

It can be divided in two parts, 3486 and 782145, that added together give a triangular number (785631 = T₁₂₅₃).

The spelling of 3486782145 in words is "three billion, four hundred eighty-six million, seven hundred eighty-two thousand, one hundred forty-five".