73838349 has 36 divisors (see below), whose sum is σ = 120171324. Its totient is φ = 43426944.

The previous prime is 73838341. The next prime is 73838357. The reversal of 73838349 is 94383837.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73838341) and next prime (73838357).

It can be written as a sum of positive squares in 2 ways, for example, as 23328900 + 50509449 = 4830^2 + 7107^2 .

It is not a de Polignac number, because 73838349 - 2³ = 73838341 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73838341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61297 + ... + 62489.

Almost surely, 2^73838349 is an apocalyptic number.

It is an amenable number.

73838349 is a deficient number, since it is larger than the sum of its proper divisors (46332975).

73838349 is a wasteful number, since it uses less digits than its factorization.

73838349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1232 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 73838349 is about 8592.9243567019. The cubic root of 73838349 is about 419.5277174250.

The spelling of 73838349 in words is "seventy-three million, eight hundred thirty-eight thousand, three hundred forty-nine".