3642522526461 has 96 divisors (see below), whose sum is σ = 6329236666368. Its totient is φ = 1814263816320.

The previous prime is 3642522526427. The next prime is 3642522526469. The reversal of 3642522526461 is 1646252252463.

3642522526461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3642522526461 - 2¹⁷ = 3642522395389 is a prime.

It is a super-3 number, since 3×3642522526461³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3642522526461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642522526469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30195576 + ... + 30315966.

It is an arithmetic number, because the mean of its divisors is an integer number (65929548608).

Almost surely, 2^{3642522526461} is an apocalyptic number.

It is an amenable number.

3642522526461 is a deficient number, since it is larger than the sum of its proper divisors (2686714139907).

3642522526461 is a wasteful number, since it uses less digits than its factorization.

3642522526461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120759 (or 120740 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 3642522526461 in words is "three trillion, six hundred forty-two billion, five hundred twenty-two million, five hundred twenty-six thousand, four hundred sixty-one".