3686926464000 has 1408 divisors, whose sum is σ = 14806786176000. Its totient is φ = 899422617600.

The previous prime is 3686926463963. The next prime is 3686926464017. The reversal of 3686926464000 is 4646296863.

3686926464000 is a `hidden beast` number, since 36 + 86 + 92 + 6 + 46 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6155135701 + ... + 6155136299.

Almost surely, 2^{3686926464000} is an apocalyptic number.

3686926464000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686926464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403393088000).

3686926464000 is an abundant number, since it is smaller than the sum of its proper divisors (11119859712000).

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

3686926464000 is a wasteful number, since it uses less digits than its factorization.

3686926464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3686926464000 in words is "three trillion, six hundred eighty-six billion, nine hundred twenty-six million, four hundred sixty-four thousand".