3486442991520 has 768 divisors, whose sum is σ = 11696644270080. Its totient is φ = 871961739264.

The previous prime is 3486442991497. The next prime is 3486442991527. The reversal of 3486442991520 is 251992446843.

It is not an unprimeable number, because it can be changed into a prime (3486442991527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17697680062 + ... + 17697680258.

It is an arithmetic number, because the mean of its divisors is an integer number (15230005560).

Almost surely, 2^{3486442991520} is an apocalyptic number.

3486442991520 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 3486442991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848322135040).

3486442991520 is an abundant number, since it is smaller than the sum of its proper divisors (8210201278560).

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

3486442991520 is a wasteful number, since it uses less digits than its factorization.

3486442991520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 3486442991520 in words is "three trillion, four hundred eighty-six billion, four hundred forty-two million, nine hundred ninety-one thousand, five hundred twenty".