38206532 has 48 divisors (see below), whose sum is σ = 84239232. Its totient is φ = 14757120.

The previous prime is 38206523. The next prime is 38206541. The reversal of 38206532 is 23560283.

It is an interprime number because it is at equal distance from previous prime (38206523) and next prime (38206541).

It is a junction number, because it is equal to n+sod(n) for n = 38206495 and 38206504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14432 + ... + 16872.

It is an arithmetic number, because the mean of its divisors is an integer number (1754984).

Almost surely, 2^38206532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38206532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42119616).

38206532 is an abundant number, since it is smaller than the sum of its proper divisors (46032700).

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

38206532 is a wasteful number, since it uses less digits than its factorization.

38206532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 38206532 is about 6181.1432599480. The cubic root of 38206532 is about 336.8055243084.

The spelling of 38206532 in words is "thirty-eight million, two hundred six thousand, five hundred thirty-two".