3790167120 has 160 divisors (see below), whose sum is σ = 13742275200. Its totient is φ = 957505536.

The previous prime is 3790167089. The next prime is 3790167127. The reversal of 3790167120 is 217610973.

It is a happy number.

3790167120 is a `hidden beast` number, since 379 + 0 + 167 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3790167127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5137 + ... + 87216.

It is an arithmetic number, because the mean of its divisors is an integer number (85889220).

Almost surely, 2^3790167120 is an apocalyptic number.

3790167120 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 3790167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871137600).

3790167120 is an abundant number, since it is smaller than the sum of its proper divisors (9952108080).

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

3790167120 is a wasteful number, since it uses less digits than its factorization.

3790167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92394 (or 92382 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 3790167120 is about 61564.3331808280. Note that the first 3 decimals coincide. The cubic root of 3790167120 is about 1559.1436127987.

The spelling of 3790167120 in words is "three billion, seven hundred ninety million, one hundred sixty-seven thousand, one hundred twenty".