3762576 has 120 divisors (see below), whose sum is σ = 11751480. Its totient is φ = 1118208.

The previous prime is 3762497. The next prime is 3762587. The reversal of 3762576 is 6752673.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1440000 + 2322576 = 1200^2 + 1524^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3762576.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70966 + ... + 71018.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

Almost surely, 2^3762576 is an apocalyptic number.

3762576 is a gapful number since it is divisible by the number (36) 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 3762576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875740).

3762576 is an abundant number, since it is smaller than the sum of its proper divisors (7988904).

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

3762576 is a wasteful number, since it uses less digits than its factorization.

3762576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

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

The square root of 3762576 is about 1939.7360645201. The cubic root of 3762576 is about 155.5351050969.

The spelling of 3762576 in words is "three million, seven hundred sixty-two thousand, five hundred seventy-six".