3466932363648 has 192 divisors, whose sum is σ = 10746690318000. Its totient is φ = 1066469289984.

The previous prime is 3466932363613. The next prime is 3466932363673. The reversal of 3466932363648 is 8463632396643.

3466932363648 is a `hidden beast` number, since 3 + 466 + 93 + 23 + 6 + 3 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3466932363648² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61358386 + ... + 61414862.

Almost surely, 2^{3466932363648} 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 3466932363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373345159000).

3466932363648 is an abundant number, since it is smaller than the sum of its proper divisors (7279757954352).

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

3466932363648 is a wasteful number, since it uses less digits than its factorization.

3466932363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60609 (or 60594 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 63.

The spelling of 3466932363648 in words is "three trillion, four hundred sixty-six billion, nine hundred thirty-two million, three hundred sixty-three thousand, six hundred forty-eight".