3898476495936 has 567 divisors, whose sum is σ = 12800437057317. Its totient is φ = 1177091688960.

The previous prime is 3898476495877. The next prime is 3898476495941. The reversal of 3898476495936 is 6395946748983.

The square root of 3898476495936 is 1974456.

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

3898476495936 is a `hidden beast` number, since 3 + 8 + 98 + 4 + 7 + 6 + 495 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 671940878400 + 3226535617536 = 819720^2 + 1796256^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14073922230 + ... + 14073922506.

Almost surely, 2^{3898476495936} is an apocalyptic number.

3898476495936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3898476495936 is the 1974456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3898476495936

3898476495936 is an abundant number, since it is smaller than the sum of its proper divisors (8901960561381).

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

3898476495936 is an frugal number, since it uses more digits than its factorization.

3898476495936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 293 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

Multiplying 3898476495936 by its sum of digits (81), we get a square (315776596170816 = 17770104²).

3898476495936 divided by its sum of digits (81) gives a square (48129339456 = 219384²).

The spelling of 3898476495936 in words is "three trillion, eight hundred ninety-eight billion, four hundred seventy-six million, four hundred ninety-five thousand, nine hundred thirty-six".