3745984 has 56 divisors (see below), whose sum is σ = 8613648. Its totient is φ = 1597440.

The previous prime is 3745961. The next prime is 3745997. The reversal of 3745984 is 4895473.

It is a super-2 number, since 2×3745984² = 28064792256512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11812 + ... + 12124.

Almost surely, 2^3745984 is an apocalyptic number.

3745984 is a gapful number since it is divisible by the number (34) 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 3745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306824).

3745984 is an abundant number, since it is smaller than the sum of its proper divisors (4867664).

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

3745984 is a wasteful number, since it uses less digits than its factorization.

3745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 3745984 is about 1935.4544685939. The cubic root of 3745984 is about 155.3061448399.

It can be divided in two parts, 374 and 5984, that multiplied together give a square (2238016 = 1496²).

The spelling of 3745984 in words is "three million, seven hundred forty-five thousand, nine hundred eighty-four".