3541005643536 has 225 divisors, whose sum is σ = 10343480517381. Its totient is φ = 1169518881024.

The previous prime is 3541005643481. The next prime is 3541005643537. The reversal of 3541005643536 is 6353465001453.

The square root of 3541005643536 is 1881756.

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

3541005643536 is a `hidden beast` number, since 3 + 5 + 4 + 100 + 5 + 6 + 4 + 3 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22590090000 + 3518415553536 = 150300^2 + 1875744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3541005643491 and 3541005643500.

It is not an unprimeable number, because it can be changed into a prime (3541005643537) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11313116916 + ... + 11313117228.

Almost surely, 2^{3541005643536} is an apocalyptic number.

3541005643536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3541005643536 is the 1881756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3541005643536

3541005643536 is an abundant number, since it is smaller than the sum of its proper divisors (6802474873845).

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

3541005643536 is an frugal number, since it uses more digits than its factorization.

3541005643536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 3541005643536 in words is "three trillion, five hundred forty-one billion, five million, six hundred forty-three thousand, five hundred thirty-six".