3762000540 has 144 divisors (see below), whose sum is σ = 11747998080. Its totient is φ = 974039040.

The previous prime is 3762000527. The next prime is 3762000563. The reversal of 3762000540 is 450002673.

It is a happy number.

3762000540 is a `hidden beast` number, since 37 + 620 + 0 + 0 + 5 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865252 + ... + 869588.

It is an arithmetic number, because the mean of its divisors is an integer number (81583320).

Almost surely, 2^3762000540 is an apocalyptic number.

3762000540 is a gapful number since it is divisible by the number (30) 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 3762000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873999040).

3762000540 is an abundant number, since it is smaller than the sum of its proper divisors (7985997540).

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

3762000540 is a wasteful number, since it uses less digits than its factorization.

3762000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3762000540 is about 61335.1493028264. The cubic root of 3762000540 is about 1555.2717535275.

The spelling of 3762000540 in words is "three billion, seven hundred sixty-two million, five hundred forty", and thus it is an aban number.