3795646672512 has 96 divisors (see below), whose sum is σ = 10926929520000. Its totient is φ = 1264687243776.

The previous prime is 3795646672417. The next prime is 3795646672513. The reversal of 3795646672512 is 2152766465973.

3795646672512 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 6 + 46 + 6 + 72 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3795646672512.

It is not an unprimeable number, because it can be changed into a prime (3795646672513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2076939 + ... + 3450357.

It is an arithmetic number, because the mean of its divisors is an integer number (113822182500).

Almost surely, 2^{3795646672512} is an apocalyptic number.

3795646672512 is a gapful number since it is divisible by the number (32) 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 3795646672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463464760000).

3795646672512 is an abundant number, since it is smaller than the sum of its proper divisors (7131282847488).

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

3795646672512 is a wasteful number, since it uses less digits than its factorization.

3795646672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375838 (or 1375823 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 3795646672512 in words is "three trillion, seven hundred ninety-five billion, six hundred forty-six million, six hundred seventy-two thousand, five hundred twelve".