3486177242768 has 40 divisors (see below), whose sum is σ = 7373847138816. Its totient is φ = 1583478460800.

The previous prime is 3486177242767. The next prime is 3486177242819. The reversal of 3486177242768 is 8672427716843.

It is a happy number.

It is a super-3 number, since 3×3486177242768³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3486177242767) 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, 6928496 + ... + 7414607.

Almost surely, 2^{3486177242768} is an apocalyptic number.

It is an amenable number.

3486177242768 is an abundant number, since it is smaller than the sum of its proper divisors (3887669896048).

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

3486177242768 is a wasteful number, since it uses less digits than its factorization.

3486177242768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14344503 (or 14344497 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 65.

The spelling of 3486177242768 in words is "three trillion, four hundred eighty-six billion, one hundred seventy-seven million, two hundred forty-two thousand, seven hundred sixty-eight".