3684640167936 has 2304 divisors, whose sum is σ = 14733508608000. Its totient is φ = 888151080960.

The previous prime is 3684640167931. The next prime is 3684640167941. The reversal of 3684640167936 is 6397610464863.

3684640167936 is a `hidden beast` number, since 3 + 6 + 8 + 464 + 0 + 167 + 9 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3684640167931) and next prime (3684640167941).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684640167931) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46641014745 + ... + 46641014823.

It is an arithmetic number, because the mean of its divisors is an integer number (6394752000).

Almost surely, 2^{3684640167936} is an apocalyptic number.

3684640167936 is a gapful number since it is divisible by the number (36) 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 3684640167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366754304000).

3684640167936 is an abundant number, since it is smaller than the sum of its proper divisors (11048868440064).

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

3684640167936 is a wasteful number, since it uses less digits than its factorization.

3684640167936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 3684640167936 in words is "three trillion, six hundred eighty-four billion, six hundred forty million, one hundred sixty-seven thousand, nine hundred thirty-six".