38405952 has 168 divisors, whose sum is σ = 124260864. Its totient is φ = 11252736.

The previous prime is 38405951. The next prime is 38405953. The reversal of 38405952 is 25950483.

It is an interprime number because it is at equal distance from previous prime (38405951) and next prime (38405953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38405951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172113 + ... + 172335.

It is an arithmetic number, because the mean of its divisors is an integer number (739648).

Almost surely, 2^38405952 is an apocalyptic number.

38405952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62130432).

38405952 is an abundant number, since it is smaller than the sum of its proper divisors (85854912).

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

38405952 is a wasteful number, since it uses less digits than its factorization.

38405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 38405952 is about 6197.2535852586. The cubic root of 38405952 is about 337.3904961619.

The spelling of 38405952 in words is "thirty-eight million, four hundred five thousand, nine hundred fifty-two".