3741952 has 36 divisors (see below), whose sum is σ = 7652736. Its totient is φ = 1825280.

The previous prime is 3741943. The next prime is 3741961. The reversal of 3741952 is 2591473.

It is an interprime number because it is at equal distance from previous prime (3741943) and next prime (3741961).

Its product of digits (7560) is a multiple of the sum of its prime divisors (360).

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 3 ways as a sum of consecutive naturals, for example, 11877 + ... + 12187.

It is an arithmetic number, because the mean of its divisors is an integer number (212576).

Almost surely, 2^3741952 is an apocalyptic number.

3741952 is a gapful number since it is divisible by the number (32) 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 3741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826368).

3741952 is an abundant number, since it is smaller than the sum of its proper divisors (3910784).

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

3741952 is an equidigital number, since it uses as much as digits as its factorization.

3741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 3741952 is about 1934.4125723330. The cubic root of 3741952 is about 155.2504034398.

The spelling of 3741952 in words is "three million, seven hundred forty-one thousand, nine hundred fifty-two".