3764920 has 32 divisors (see below), whose sum is σ = 8615520. Its totient is φ = 1480320.

The previous prime is 3764911. The next prime is 3764923. The reversal of 3764920 is 294673.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669 + ... + 3211.

It is an arithmetic number, because the mean of its divisors is an integer number (269235).

Almost surely, 2^3764920 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 3764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307760).

3764920 is an abundant number, since it is smaller than the sum of its proper divisors (4850600).

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

3764920 is a wasteful number, since it uses less digits than its factorization.

3764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 3764920 is about 1940.3401763608. The cubic root of 3764920 is about 155.5673966799.

The spelling of 3764920 in words is "three million, seven hundred sixty-four thousand, nine hundred twenty".