3486626872740 has 192 divisors, whose sum is σ = 11871213016320. Its totient is φ = 842541972480.

The previous prime is 3486626872717. The next prime is 3486626872759. The reversal of 3486626872740 is 472786266843.

It is a happy number.

3486626872740 is a `hidden beast` number, since 3 + 48 + 66 + 268 + 7 + 274 + 0 = 666.

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, 921562 + ... + 2796878.

It is an arithmetic number, because the mean of its divisors is an integer number (61829234460).

Almost surely, 2^{3486626872740} is an apocalyptic number.

3486626872740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486626872740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935606508160).

3486626872740 is an abundant number, since it is smaller than the sum of its proper divisors (8384586143580).

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

3486626872740 is a wasteful number, since it uses less digits than its factorization.

3486626872740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875659 (or 1875651 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 3486626872740 in words is "three trillion, four hundred eighty-six billion, six hundred twenty-six million, eight hundred seventy-two thousand, seven hundred forty".