3486015644160 has 320 divisors, whose sum is σ = 12836718968832. Its totient is φ = 790527983616.

The previous prime is 3486015644131. The next prime is 3486015644171. The reversal of 3486015644160 is 614465106843.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6572229 + ... + 7082811.

Almost surely, 2^{3486015644160} is an apocalyptic number.

3486015644160 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 3486015644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418359484416).

3486015644160 is an abundant number, since it is smaller than the sum of its proper divisors (9350703324672).

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

3486015644160 is a wasteful number, since it uses less digits than its factorization.

3486015644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510743 (or 510727 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 3486015644160 in words is "three trillion, four hundred eighty-six billion, fifteen million, six hundred forty-four thousand, one hundred sixty".