3729457 has 2 divisors, whose sum is σ = 3729458. Its totient is φ = 3729456.

The previous prime is 3729437. The next prime is 3729461. The reversal of 3729457 is 7549273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3272481 + 456976 = 1809^2 + 676^2 .

It is a cyclic number.

It is not a de Polignac number, because 3729457 - 2⁷ = 3729329 is a prime.

It is a d-powerful number, because it can be written as 3¹³ + 7⁶ + 2¹³ + 9⁵ + 4¹⁰ + 5⁷ + 7⁷ .

It is not a weakly prime, because it can be changed into another prime (3729437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1864728 + 1864729.

It is an arithmetic number, because the mean of its divisors is an integer number (1864729).

Almost surely, 2^3729457 is an apocalyptic number.

It is an amenable number.

3729457 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729457 is an equidigital number, since it uses as much as digits as its factorization.

3729457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52920, while the sum is 37.

The square root of 3729457 is about 1931.1802090949. The cubic root of 3729457 is about 155.0774084388.

It can be divided in two parts, 3729 and 457, that added together give a triangular number (4186 = T₉₁).

The spelling of 3729457 in words is "three million, seven hundred twenty-nine thousand, four hundred fifty-seven".