3486115844640 has 1152 divisors, whose sum is σ = 14894886569472. Its totient is φ = 729429442560.

The previous prime is 3486115844581. The next prime is 3486115844641. The reversal of 3486115844640 is 464485116843.

3486115844640 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 1 + 158 + 446 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (3486115844641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 549597309 + ... + 549603651.

It is an arithmetic number, because the mean of its divisors is an integer number (12929589036).

Almost surely, 2^{3486115844640} is an apocalyptic number.

3486115844640 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 3486115844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447443284736).

3486115844640 is an abundant number, since it is smaller than the sum of its proper divisors (11408770724832).

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

3486115844640 is a wasteful number, since it uses less digits than its factorization.

3486115844640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 3486115844640 in words is "three trillion, four hundred eighty-six billion, one hundred fifteen million, eight hundred forty-four thousand, six hundred forty".