3500319550464 has 352 divisors, whose sum is σ = 11315876263680. Its totient is φ = 1060024320000.

The previous prime is 3500319550457. The next prime is 3500319550471. The reversal of 3500319550464 is 4640559130053.

3500319550464 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 31 + 9 + 550 + 4 + 64 = 666.

3500319550464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3500319550457) and next prime (3500319550471).

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684589572 + ... + 684594684.

Almost surely, 2^{3500319550464} 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 3500319550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657938131840).

3500319550464 is an abundant number, since it is smaller than the sum of its proper divisors (7815556713216).

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

3500319550464 is a wasteful number, since it uses less digits than its factorization.

3500319550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 3500319550464 in words is "three trillion, five hundred billion, three hundred nineteen million, five hundred fifty thousand, four hundred sixty-four".