3486265181280 has 960 divisors, whose sum is σ = 15162651947520. Its totient is φ = 736492953600.

The previous prime is 3486265181233. The next prime is 3486265181339. The reversal of 3486265181280 is 821815626843.

3486265181280 is a `hidden beast` number, since 3 + 4 + 8 + 626 + 5 + 1 + 8 + 1 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70646215 + ... + 70695545.

It is an arithmetic number, because the mean of its divisors is an integer number (15794429112).

Almost surely, 2^{3486265181280} is an apocalyptic number.

3486265181280 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 3486265181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581325973760).

3486265181280 is an abundant number, since it is smaller than the sum of its proper divisors (11676386766240).

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

3486265181280 is a wasteful number, since it uses less digits than its factorization.

3486265181280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49425 (or 49408 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 3486265181280 in words is "three trillion, four hundred eighty-six billion, two hundred sixty-five million, one hundred eighty-one thousand, two hundred eighty".