3796508160 has 240 divisors, whose sum is σ = 13472418960. Its totient is φ = 987463680.

The previous prime is 3796508159. The next prime is 3796508189. The reversal of 3796508160 is 618056973.

It is a happy number.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942631 + ... + 946649.

It is an arithmetic number, because the mean of its divisors is an integer number (56135079).

Almost surely, 2^3796508160 is an apocalyptic number.

3796508160 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 3796508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736209480).

3796508160 is an abundant number, since it is smaller than the sum of its proper divisors (9675910800).

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

3796508160 is a wasteful number, since it uses less digits than its factorization.

3796508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3796508160 is about 61615.8109579027. The cubic root of 3796508160 is about 1560.0126231720.

The spelling of 3796508160 in words is "three billion, seven hundred ninety-six million, five hundred eight thousand, one hundred sixty".