3766464 has 84 divisors (see below), whose sum is σ = 11649456. Its totient is φ = 1156608.

The previous prime is 3766459. The next prime is 3766471. The reversal of 3766464 is 4646673.

3766464 is a `hidden beast` number, since 3 + 7 + 6 + 646 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7237 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 2^3766464 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 3766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824728).

3766464 is an abundant number, since it is smaller than the sum of its proper divisors (7882992).

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

3766464 is a wasteful number, since it uses less digits than its factorization.

3766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3766464 is about 1940.7380039562. The cubic root of 3766464 is about 155.5886599234.

The spelling of 3766464 in words is "three million, seven hundred sixty-six thousand, four hundred sixty-four".