3874940716896 has 192 divisors, whose sum is σ = 11600402688000. Its totient is φ = 1257809845248.

The previous prime is 3874940716879. The next prime is 3874940716901. The reversal of 3874940716896 is 6986170494783.

3874940716896 is a `hidden beast` number, since 3 + 8 + 7 + 494 + 0 + 71 + 68 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 7841236 + ... + 8320748.

It is an arithmetic number, because the mean of its divisors is an integer number (60418764000).

Almost surely, 2^{3874940716896} is an apocalyptic number.

3874940716896 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 3874940716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800201344000).

3874940716896 is an abundant number, since it is smaller than the sum of its proper divisors (7725461971104).

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

3874940716896 is a wasteful number, since it uses less digits than its factorization.

3874940716896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479778 (or 479764 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 3874940716896 in words is "three trillion, eight hundred seventy-four billion, nine hundred forty million, seven hundred sixteen thousand, eight hundred ninety-six".