3724782961 has 3 divisors (see below), whose sum is σ = 3724843993. Its totient is φ = 3724721930.

The previous prime is 3724782917. The next prime is 3724782967. The reversal of 3724782961 is 1692874273.

It is a happy number.

The square root of 3724782961 is 61031.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 3724782961 - 2⁷ = 3724782833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3724782967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 30516 + ... + 91546.

Almost surely, 2^3724782961 is an apocalyptic number.

3724782961 is the 61031-st square number.

3724782961 is the 30516-th centered octagonal number.

It is an amenable number.

3724782961 is a deficient number, since it is larger than the sum of its proper divisors (61032).

3724782961 is an frugal number, since it uses more digits than its factorization.

3724782961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122062 (or 61031 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The cubic root of 3724782961 is about 1550.1259642340.

Multiplying 3724782961 by its sum of digits (49), we get a square (182514365089 = 427217²).

The spelling of 3724782961 in words is "three billion, seven hundred twenty-four million, seven hundred eighty-two thousand, nine hundred sixty-one".