3489706585350 has 576 divisors, whose sum is σ = 10449316200960. Its totient is φ = 863322624000.

The previous prime is 3489706585333. The next prime is 3489706585381. The reversal of 3489706585350 is 535856079843.

3489706585350 is a `hidden beast` number, since 3 + 4 + 8 + 97 + 0 + 6 + 5 + 8 + 535 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2261636679 + ... + 2261638221.

It is an arithmetic number, because the mean of its divisors is an integer number (18141173960).

Almost surely, 2^{3489706585350} is an apocalyptic number.

3489706585350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3489706585350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224658100480).

3489706585350 is an abundant number, since it is smaller than the sum of its proper divisors (6959609615610).

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

3489706585350 is a wasteful number, since it uses less digits than its factorization.

3489706585350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3489706585350 in words is "three trillion, four hundred eighty-nine billion, seven hundred six million, five hundred eighty-five thousand, three hundred fifty".