3792500 has 60 divisors (see below), whose sum is σ = 8725332. Its totient is φ = 1440000.

The previous prime is 3792499. The next prime is 3792511. The reversal of 3792500 is 52973.

It can be written as a sum of positive squares in 10 ways, for example, as 3083536 + 708964 = 1756^2 + 842^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3792500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92480 + ... + 92520.

Almost surely, 2^3792500 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 3792500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362666).

3792500 is an abundant number, since it is smaller than the sum of its proper divisors (4932832).

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

3792500 is a wasteful number, since it uses less digits than its factorization.

3792500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 3792500 is about 1947.4342094150. The cubic root of 3792500 is about 155.9463435894.

It can be divided in two parts, 37 and 92500, that multiplied together give a square (3422500 = 1850²).

The spelling of 3792500 in words is "three million, seven hundred ninety-two thousand, five hundred".