38529435 has 96 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 15966720.

The previous prime is 38529431. The next prime is 38529437. The reversal of 38529435 is 53492583.

It is not a de Polignac number, because 38529435 - 2² = 38529431 is a prime.

It is a super-2 number, since 2×38529435² = 2969034722838450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38529393 and 38529402.

It is not an unprimeable number, because it can be changed into a prime (38529431) 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, 432871 + ... + 432959.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 2^38529435 is an apocalyptic number.

38529435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38529435 is an abundant number, since it is smaller than the sum of its proper divisors (40267365).

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

38529435 is a wasteful number, since it uses less digits than its factorization.

38529435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 38529435 is about 6207.2083096993. The cubic root of 38529435 is about 337.7517024980.

The spelling of 38529435 in words is "thirty-eight million, five hundred twenty-nine thousand, four hundred thirty-five".