3487162224000 has 2304 divisors, whose sum is σ = 15084087183360. Its totient is φ = 709502976000.

The previous prime is 3487162223981. The next prime is 3487162224023. The reversal of 3487162224000 is 4222617843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3487162224000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12322127859 + ... + 12322128141.

It is an arithmetic number, because the mean of its divisors is an integer number (6546912840).

Almost surely, 2^{3487162224000} is an apocalyptic number.

3487162224000 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 3487162224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542043591680).

3487162224000 is an abundant number, since it is smaller than the sum of its proper divisors (11596924959360).

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

3487162224000 is a wasteful number, since it uses less digits than its factorization.

3487162224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 3487162224000 in words is "three trillion, four hundred eighty-seven billion, one hundred sixty-two million, two hundred twenty-four thousand".