3790500 has 144 divisors (see below), whose sum is σ = 13313664. Its totient is φ = 820800.

The previous prime is 3790487. The next prime is 3790513. The reversal of 3790500 is 50973.

It is an interprime number because it is at equal distance from previous prime (3790487) and next prime (3790513).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199491 + ... + 199509.

It is an arithmetic number, because the mean of its divisors is an integer number (92456).

Almost surely, 2^3790500 is an apocalyptic number.

3790500 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 3790500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

3790500 is an abundant number, since it is smaller than the sum of its proper divisors (9523164).

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

3790500 is a wasteful number, since it uses less digits than its factorization.

3790500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 3790500 is about 1946.9206455323. The cubic root of 3790500 is about 155.9189256567.

Multiplying 3790500 by its product of nonzero digits (945), we get a square (3582022500 = 59850²).

The spelling of 3790500 in words is "three million, seven hundred ninety thousand, five hundred".