3481933608036 has 243 divisors, whose sum is σ = 9756940859211. Its totient is φ = 1046509147008.

The previous prime is 3481933608019. The next prime is 3481933608061. The reversal of 3481933608036 is 6308063391843.

The square root of 3481933608036 is 1865994.

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

3481933608036 is a `hidden beast` number, since 348 + 193 + 3 + 6 + 0 + 80 + 36 = 666.

3481933608036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9465344100 + 3472468263936 = 97290^2 + 1863456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6840733750 + ... + 6840734258.

Almost surely, 2^{3481933608036} is an apocalyptic number.

3481933608036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3481933608036 is the 1865994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481933608036

3481933608036 is an abundant number, since it is smaller than the sum of its proper divisors (6275007251175).

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

3481933608036 is a wasteful number, since it uses less digits than its factorization.

3481933608036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

Adding to 3481933608036 its reverse (6308063391843), we get a palindrome (9789996999879).

The spelling of 3481933608036 in words is "three trillion, four hundred eighty-one billion, nine hundred thirty-three million, six hundred eight thousand, thirty-six".