3480675786500 has 192 divisors, whose sum is σ = 8867645579520. Its totient is φ = 1179449600000.

The previous prime is 3480675786487. The next prime is 3480675786521. The reversal of 3480675786500 is 56875760843.

It is a self number, because there is not a number n which added to its sum of digits gives 3480675786500.

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 63 ways as a sum of consecutive naturals, for example, 9259211 + ... + 9627789.

It is an arithmetic number, because the mean of its divisors is an integer number (46185654060).

Almost surely, 2^{3480675786500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480675786500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433822789760).

3480675786500 is an abundant number, since it is smaller than the sum of its proper divisors (5386969793020).

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

3480675786500 is a wasteful number, since it uses less digits than its factorization.

3480675786500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368727 (or 368715 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 59.

The spelling of 3480675786500 in words is "three trillion, four hundred eighty billion, six hundred seventy-five million, seven hundred eighty-six thousand, five hundred".