3486651255360 has 896 divisors, whose sum is σ = 15352088371200. Its totient is φ = 725272289280.

The previous prime is 3486651255341. The next prime is 3486651255383. The reversal of 3486651255360 is 635521566843.

3486651255360 is a `hidden beast` number, since 3 + 4 + 8 + 66 + 512 + 5 + 5 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3486651255297 and 3486651255306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55791811 + ... + 55854269.

It is an arithmetic number, because the mean of its divisors is an integer number (17134027200).

Almost surely, 2^{3486651255360} is an apocalyptic number.

3486651255360 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 3486651255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676044185600).

3486651255360 is an abundant number, since it is smaller than the sum of its proper divisors (11865437115840).

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

3486651255360 is a wasteful number, since it uses less digits than its factorization.

3486651255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62576 (or 62560 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3486651255360 in words is "three trillion, four hundred eighty-six billion, six hundred fifty-one million, two hundred fifty-five thousand, three hundred sixty".