3493626464064 has 336 divisors, whose sum is σ = 10841627531840. Its totient is φ = 989206732800.

The previous prime is 3493626464057. The next prime is 3493626464093. The reversal of 3493626464064 is 4604646263943.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 3493626463995 and 3493626464013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32168574 + ... + 32276994.

Almost surely, 2^{3493626464064} 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 3493626464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420813765920).

3493626464064 is an abundant number, since it is smaller than the sum of its proper divisors (7348001067776).

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

3493626464064 is a wasteful number, since it uses less digits than its factorization.

3493626464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108550 (or 108529 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 57.

The spelling of 3493626464064 in words is "three trillion, four hundred ninety-three billion, six hundred twenty-six million, four hundred sixty-four thousand, sixty-four".