3468993038064 has 200 divisors, whose sum is σ = 10256775691008. Its totient is φ = 1131410332800.

The previous prime is 3468993038053. The next prime is 3468993038101. The reversal of 3468993038064 is 4608303998643.

3468993038064 is a `hidden beast` number, since 3 + 468 + 9 + 9 + 30 + 3 + 80 + 64 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3468993037992 and 3468993038010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325691139 + ... + 325701789.

Almost surely, 2^{3468993038064} 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 3468993038064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128387845504).

3468993038064 is an abundant number, since it is smaller than the sum of its proper divisors (6787782652944).

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

3468993038064 is a wasteful number, since it uses less digits than its factorization.

3468993038064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16065 (or 16050 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 3468993038064 in words is "three trillion, four hundred sixty-eight billion, nine hundred ninety-three million, thirty-eight thousand, sixty-four".