3729456 has 80 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 1216512.

The previous prime is 3729437. The next prime is 3729457. The reversal of 3729456 is 6549273.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3729456.

It is not an unprimeable number, because it can be changed into a prime (3729457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38400 + ... + 38496.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^3729456 is an apocalyptic number.

3729456 is a gapful number since it is divisible by the number (36) 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 3729456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

3729456 is an abundant number, since it is smaller than the sum of its proper divisors (7207344).

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

3729456 is a wasteful number, since it uses less digits than its factorization.

3729456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3729456 is about 1931.1799501859. The cubic root of 3729456 is about 155.0773945782.

It can be divided in two parts, 372945 and 6, that multiplied together give a triangular number (2237670 = T₂₁₁₅).

The spelling of 3729456 in words is "three million, seven hundred twenty-nine thousand, four hundred fifty-six".