3796689120 has 384 divisors, whose sum is σ = 14479202304. Its totient is φ = 817496064.

The previous prime is 3796689109. The next prime is 3796689151. The reversal of 3796689120 is 219866973.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5641104 + ... + 5641776.

It is an arithmetic number, because the mean of its divisors is an integer number (37706256).

Almost surely, 2^3796689120 is an apocalyptic number.

3796689120 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 3796689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239601152).

3796689120 is an abundant number, since it is smaller than the sum of its proper divisors (10682513184).

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

3796689120 is a wasteful number, since it uses less digits than its factorization.

3796689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 3796689120 is about 61617.2793946633. The cubic root of 3796689120 is about 1560.0374087019.

The spelling of 3796689120 in words is "three billion, seven hundred ninety-six million, six hundred eighty-nine thousand, one hundred twenty".