3765038900 has 72 divisors (see below), whose sum is σ = 9353734656. Its totient is φ = 1288598400.

The previous prime is 3765038891. The next prime is 3765038911. The reversal of 3765038900 is 98305673.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 420470 + ... + 429330.

Almost surely, 2^3765038900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3765038900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676867328).

3765038900 is an abundant number, since it is smaller than the sum of its proper divisors (5588695756).

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

3765038900 is a wasteful number, since it uses less digits than its factorization.

3765038900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 3765038900 is about 61359.9128095860. The cubic root of 3765038900 is about 1555.6903432146.

The spelling of 3765038900 in words is "three billion, seven hundred sixty-five million, thirty-eight thousand, nine hundred".