3762418752 has 168 divisors, whose sum is σ = 11383182720. Its totient is φ = 1185761280.

The previous prime is 3762418747. The next prime is 3762418753. The reversal of 3762418752 is 2578142673.

3762418752 is a `hidden beast` number, since 3 + 7 + 624 + 18 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3762418698 and 3762418707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3762418753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177477 + ... + 1180667.

It is an arithmetic number, because the mean of its divisors is an integer number (67757040).

Almost surely, 2^3762418752 is an apocalyptic number.

3762418752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3762418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360).

3762418752 is an abundant number, since it is smaller than the sum of its proper divisors (7620763968).

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

3762418752 is a wasteful number, since it uses less digits than its factorization.

3762418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3308 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3762418752 is about 61338.5584440978. The cubic root of 3762418752 is about 1555.3293832560.

The spelling of 3762418752 in words is "three billion, seven hundred sixty-two million, four hundred eighteen thousand, seven hundred fifty-two".