3984116492160 has 1152 divisors, whose sum is σ = 16799157648000. Its totient is φ = 899540619264.

The previous prime is 3984116492131. The next prime is 3984116492189. The reversal of 3984116492160 is 612946114893.

3984116492160 is a `hidden beast` number, since 3 + 9 + 8 + 411 + 6 + 4 + 9 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3984116492131) and next prime (3984116492189).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3984116492097 and 3984116492106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 632496691 + ... + 632502989.

It is an arithmetic number, because the mean of its divisors is an integer number (14582602125).

Almost surely, 2^{3984116492160} is an apocalyptic number.

3984116492160 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 3984116492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399578824000).

3984116492160 is an abundant number, since it is smaller than the sum of its proper divisors (12815041155840).

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

3984116492160 is an equidigital number, since it uses as much as digits as its factorization.

3984116492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 3984116492160 in words is "three trillion, nine hundred eighty-four billion, one hundred sixteen million, four hundred ninety-two thousand, one hundred sixty".