3489519360000 has 480 divisors, whose sum is σ = 11789826048000. Its totient is φ = 917360640000.

The previous prime is 3489519359993. The next prime is 3489519360007. The reversal of 3489519360000 is 639159843.

It is an interprime number because it is at equal distance from previous prime (3489519359993) and next prime (3489519360007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489519360007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272633601 + ... + 272646399.

It is an arithmetic number, because the mean of its divisors is an integer number (24562137600).

Almost surely, 2^{3489519360000} is an apocalyptic number.

3489519360000 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 3489519360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894913024000).

3489519360000 is an abundant number, since it is smaller than the sum of its proper divisors (8300306688000).

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

3489519360000 is an equidigital number, since it uses as much as digits as its factorization.

3489519360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12915 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 3489519360000 in words is "three trillion, four hundred eighty-nine billion, five hundred nineteen million, three hundred sixty thousand".