3463590521664 has 448 divisors, whose sum is σ = 12744521932800. Its totient is φ = 897989400576.

The previous prime is 3463590521557. The next prime is 3463590521683. The reversal of 3463590521664 is 4661250953643.

3463590521664 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 59 + 0 + 521 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3463590521664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9090969 + ... + 9464295.

It is an arithmetic number, because the mean of its divisors is an integer number (28447593600).

Almost surely, 2^{3463590521664} 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 3463590521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372260966400).

3463590521664 is an abundant number, since it is smaller than the sum of its proper divisors (9280931411136).

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

3463590521664 is a wasteful number, since it uses less digits than its factorization.

3463590521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373427 (or 373411 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3463590521664 in words is "three trillion, four hundred sixty-three billion, five hundred ninety million, five hundred twenty-one thousand, six hundred sixty-four".