3762812500 has 48 divisors (see below), whose sum is σ = 8231814864. Its totient is φ = 1505000000.

The previous prime is 3762812479. The next prime is 3762812503. The reversal of 3762812500 is 52182673.

It is a happy number.

3762812500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3112970436 + 649842064 = 55794^2 + 25492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3762812503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306480 + ... + 318520.

It is an arithmetic number, because the mean of its divisors is an integer number (171496143).

Almost surely, 2^3762812500 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 3762812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115907432).

3762812500 is an abundant number, since it is smaller than the sum of its proper divisors (4469002364).

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

3762812500 is an frugal number, since it uses more digits than its factorization.

3762812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 3762812500 is about 61341.7679888671. The cubic root of 3762812500 is about 1555.3836379356.

The spelling of 3762812500 in words is "three billion, seven hundred sixty-two million, eight hundred twelve thousand, five hundred".