3747968 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1554432.

The previous prime is 3747949. The next prime is 3747979. The reversal of 3747968 is 8697473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42068 + ... + 42156.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^3747968 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 3747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3747968 is an abundant number, since it is smaller than the sum of its proper divisors (5064832).

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

3747968 is an equidigital number, since it uses as much as digits as its factorization.

3747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 3747968 is about 1935.9669418665. The cubic root of 3747968 is about 155.3335584656. Note that the first 3 decimals are identical.

The spelling of 3747968 in words is "three million, seven hundred forty-seven thousand, nine hundred sixty-eight".