3729408 has 48 divisors (see below), whose sum is σ = 9959040. Its totient is φ = 1241088.

The previous prime is 3729391. The next prime is 3729413. The reversal of 3729408 is 8049273.

It is a tau number, because it is divible by the number of its divisors (48).

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, 5841 + ... + 6447.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 2^3729408 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 3729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520).

3729408 is an abundant number, since it is smaller than the sum of its proper divisors (6229632).

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

3729408 is an equidigital number, since it uses as much as digits as its factorization.

3729408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3729408 is about 1931.1675225107. The cubic root of 3729408 is about 155.0767292670.

The spelling of 3729408 in words is "three million, seven hundred twenty-nine thousand, four hundred eight".