3848172728976 has 225 divisors, whose sum is σ = 11541173542041. Its totient is φ = 1237833249408.

The previous prime is 3848172728969. The next prime is 3848172728993. The reversal of 3848172728976 is 6798272718483.

It is a happy number.

The square root of 3848172728976 is 1961676.

It is a perfect power (a square), and thus also a powerful number.

3848172728976 is a `hidden beast` number, since 3 + 8 + 481 + 7 + 2 + 72 + 8 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2017888434576 + 1830284294400 = 1420524^2 + 1352880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2047988805 + ... + 2047990683.

Almost surely, 2^{3848172728976} is an apocalyptic number.

3848172728976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3848172728976 is the 1961676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848172728976

3848172728976 is an abundant number, since it is smaller than the sum of its proper divisors (7693000813065).

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

3848172728976 is an frugal number, since it uses more digits than its factorization.

3848172728976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 1913 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 3848172728976 in words is "three trillion, eight hundred forty-eight billion, one hundred seventy-two million, seven hundred twenty-eight thousand, nine hundred seventy-six".