3716120160 has 384 divisors, whose sum is σ = 13596387840. Its totient is φ = 947054592.

The previous prime is 3716120141. The next prime is 3716120167. The reversal of 3716120160 is 610216173.

3716120160 is a `hidden beast` number, since 37 + 1 + 612 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3716120167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10709107 + ... + 10709453.

It is an arithmetic number, because the mean of its divisors is an integer number (35407260).

Almost surely, 2^3716120160 is an apocalyptic number.

3716120160 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 3716120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798193920).

3716120160 is an abundant number, since it is smaller than the sum of its proper divisors (9880267680).

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

3716120160 is a wasteful number, since it uses less digits than its factorization.

3716120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3716120160 is about 60959.9881889752. The cubic root of 3716120160 is about 1548.9233119254.

The spelling of 3716120160 in words is "three billion, seven hundred sixteen million, one hundred twenty thousand, one hundred sixty".