3873664952640 has 896 divisors, whose sum is σ = 15914949120000. Its totient is φ = 868703035392.

The previous prime is 3873664952629. The next prime is 3873664952657. The reversal of 3873664952640 is 462594663783.

3873664952640 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 6 + 64 + 9 + 526 + 40 = 666.

It is a super-3 number, since 3×3873664952640³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 747953571 + ... + 747958749.

It is an arithmetic number, because the mean of its divisors is an integer number (17762220000).

Almost surely, 2^{3873664952640} is an apocalyptic number.

3873664952640 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 3873664952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957474560000).

3873664952640 is an abundant number, since it is smaller than the sum of its proper divisors (12041284167360).

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

3873664952640 is a wasteful number, since it uses less digits than its factorization.

3873664952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 3873664952640 in words is "three trillion, eight hundred seventy-three billion, six hundred sixty-four million, nine hundred fifty-two thousand, six hundred forty".