3791918160 has 240 divisors, whose sum is σ = 13533062400. Its totient is φ = 948796416.

The previous prime is 3791918147. The next prime is 3791918167. The reversal of 3791918160 is 618191973.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791918167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489849 + ... + 1492391.

It is an arithmetic number, because the mean of its divisors is an integer number (56387760).

Almost surely, 2^3791918160 is an apocalyptic number.

3791918160 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 3791918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766531200).

3791918160 is an abundant number, since it is smaller than the sum of its proper divisors (9741144240).

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

3791918160 is a wasteful number, since it uses less digits than its factorization.

3791918160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 3791918160 is about 61578.5527598692. The cubic root of 3791918160 is about 1559.3836815888.

The spelling of 3791918160 in words is "three billion, seven hundred ninety-one million, nine hundred eighteen thousand, one hundred sixty".