3893691883536 has 675 divisors, whose sum is σ = 13831822281771. Its totient is φ = 1019519923968.

The previous prime is 3893691883447. The next prime is 3893691883541. The reversal of 3893691883536 is 6353881963983.

The square root of 3893691883536 is 1973244.

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

3893691883536 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 6 + 9 + 1 + 8 + 83 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1930554629136 + 1963137254400 = 1389444^2 + 1401120^2 .

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 134 ways as a sum of consecutive naturals, for example, 28012171755 + ... + 28012171893.

Almost surely, 2^{3893691883536} is an apocalyptic number.

3893691883536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3893691883536 is the 1973244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3893691883536

3893691883536 is an abundant number, since it is smaller than the sum of its proper divisors (9938130398235).

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

3893691883536 is an equidigital number, since it uses as much as digits as its factorization.

3893691883536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 164 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 3893691883536 in words is "three trillion, eight hundred ninety-three billion, six hundred ninety-one million, eight hundred eighty-three thousand, five hundred thirty-six".