3286490654160 has 480 divisors, whose sum is σ = 13348739018880. Its totient is φ = 740905740288.

The previous prime is 3286490654147. The next prime is 3286490654171. The reversal of 3286490654160 is 614560946823.

3286490654160 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 4 + 90 + 6 + 541 + 6 + 0 = 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 = 3286490654097 and 3286490654106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7513639 + ... + 7939001.

It is an arithmetic number, because the mean of its divisors is an integer number (27809872956).

Almost surely, 2^{3286490654160} is an apocalyptic number.

3286490654160 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 3286490654160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674369509440).

3286490654160 is an abundant number, since it is smaller than the sum of its proper divisors (10062248364720).

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

3286490654160 is a wasteful number, since it uses less digits than its factorization.

3286490654160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425472 (or 425453 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3286490654160 in words is "three trillion, two hundred eighty-six billion, four hundred ninety million, six hundred fifty-four thousand, one hundred sixty".