3762576000 has 768 divisors, whose sum is σ = 15079802400. Its totient is φ = 894566400.

The previous prime is 3762575987. The next prime is 3762576007. The reversal of 3762576000 is 6752673.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 14197824 + 3748378176 = 3768^2 + 61224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3762576007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70991974 + ... + 70992026.

Almost surely, 2^3762576000 is an apocalyptic number.

3762576000 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 3762576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539901200).

3762576000 is an abundant number, since it is smaller than the sum of its proper divisors (11317226400).

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

3762576000 is a wasteful number, since it uses less digits than its factorization.

3762576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3762576000 is about 61339.8402345490. The cubic root of 3762576000 is about 1555.3510509689.

The spelling of 3762576000 in words is "three billion, seven hundred sixty-two million, five hundred seventy-six thousand".