38132829 has 96 divisors (see below), whose sum is σ = 72777600. Its totient is φ = 19595520.

The previous prime is 38132813. The next prime is 38132879. The reversal of 38132829 is 92823183.

It is a happy number.

It is not a de Polignac number, because 38132829 - 2⁴ = 38132813 is a prime.

It is a super-2 number, since 2×38132829² = 2908225295086482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38132793 and 38132802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38132879) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 930049 + ... + 930089.

It is an arithmetic number, because the mean of its divisors is an integer number (758100).

Almost surely, 2^38132829 is an apocalyptic number.

It is an amenable number.

38132829 is a deficient number, since it is larger than the sum of its proper divisors (34644771).

38132829 is a wasteful number, since it uses less digits than its factorization.

38132829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38132829 is about 6175.1784589597. The cubic root of 38132829 is about 336.5888113057.

The spelling of 38132829 in words is "thirty-eight million, one hundred thirty-two thousand, eight hundred twenty-nine".