3790208160 has 384 divisors, whose sum is σ = 14211590400. Its totient is φ = 940584960.

The previous prime is 3790208153. The next prime is 3790208189. The reversal of 3790208160 is 618020973.

It is a super-3 number, since 3×3790208160³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5006502 + ... + 5007258.

It is an arithmetic number, because the mean of its divisors is an integer number (37009350).

Almost surely, 2^3790208160 is an apocalyptic number.

3790208160 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 3790208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105795200).

3790208160 is an abundant number, since it is smaller than the sum of its proper divisors (10421382240).

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

3790208160 is a wasteful number, since it uses less digits than its factorization.

3790208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3790208160 is about 61564.6664897975. Note that the first 3 decimals coincide. The cubic root of 3790208160 is about 1559.1492402570.

The spelling of 3790208160 in words is "three billion, seven hundred ninety million, two hundred eight thousand, one hundred sixty".