3791664 has 80 divisors (see below), whose sum is σ = 11130240. Its totient is φ = 1235520.

The previous prime is 3791657. The next prime is 3791677. The reversal of 3791664 is 4661973.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28879 + ... + 29009.

It is an arithmetic number, because the mean of its divisors is an integer number (139128).

Almost surely, 2^3791664 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 3791664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565120).

3791664 is an abundant number, since it is smaller than the sum of its proper divisors (7338576).

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

3791664 is a wasteful number, since it uses less digits than its factorization.

3791664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3791664 is about 1947.2195561877. The cubic root of 3791664 is about 155.9348840664.

The spelling of 3791664 in words is "three million, seven hundred ninety-one thousand, six hundred sixty-four".