3486972505032 has 160 divisors (see below), whose sum is σ = 10376606849400. Its totient is φ = 1091912887296.

The previous prime is 3486972505031. The next prime is 3486972505067. The reversal of 3486972505032 is 2305052796843.

3486972505032 is a `hidden beast` number, since 3 + 4 + 8 + 69 + 72 + 5 + 0 + 503 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3350239693956 + 136732811076 = 1830366^2 + 369774^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3486972505032.

It is not an unprimeable number, because it can be changed into a prime (3486972505031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1812213 + ... + 3202820.

Almost surely, 2^{3486972505032} is an apocalyptic number.

It is an amenable number.

3486972505032 is an abundant number, since it is smaller than the sum of its proper divisors (6889634344368).

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

3486972505032 is a wasteful number, since it uses less digits than its factorization.

3486972505032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015117 (or 5015104 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

It can be divided in two parts, 3486972 and 505032, that added together give a square (3992004 = 1998²).

The spelling of 3486972505032 in words is "three trillion, four hundred eighty-six billion, nine hundred seventy-two million, five hundred five thousand, thirty-two".