3796587664 has 40 divisors (see below), whose sum is σ = 7625136960. Its totient is φ = 1829079168.

The previous prime is 3796587661. The next prime is 3796587709. The reversal of 3796587664 is 4667856973.

It is not an unprimeable number, because it can be changed into a prime (3796587661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 225259 + ... + 241525.

It is an arithmetic number, because the mean of its divisors is an integer number (190628424).

Almost surely, 2^3796587664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3796587664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812568480).

3796587664 is an abundant number, since it is smaller than the sum of its proper divisors (3828549296).

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

3796587664 is a wasteful number, since it uses less digits than its factorization.

3796587664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16807 (or 16801 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 61.

The square root of 3796587664 is about 61616.4561136065. The cubic root of 3796587664 is about 1560.0235126853.

The spelling of 3796587664 in words is "three billion, seven hundred ninety-six million, five hundred eighty-seven thousand, six hundred sixty-four".