3486267283456 has 96 divisors (see below), whose sum is σ = 7189654530240. Its totient is φ = 1689149440000.

The previous prime is 3486267283451. The next prime is 3486267283463. The reversal of 3486267283456 is 6543827626843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486267283451) 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, 9542556 + ... + 9901156.

It is an arithmetic number, because the mean of its divisors is an integer number (74892234690).

Almost surely, 2^{3486267283456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486267283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594827265120).

3486267283456 is an abundant number, since it is smaller than the sum of its proper divisors (3703387246784).

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

3486267283456 is a wasteful number, since it uses less digits than its factorization.

3486267283456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358771 (or 358751 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 64.

The spelling of 3486267283456 in words is "three trillion, four hundred eighty-six billion, two hundred sixty-seven million, two hundred eighty-three thousand, four hundred fifty-six".