38345952 has 48 divisors (see below), whose sum is σ = 105960960. Its totient is φ = 12108672.

The previous prime is 38345939. The next prime is 38345953. The reversal of 38345952 is 25954383.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38345952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38345953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8688 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 2^38345952 is an apocalyptic number.

38345952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38345952 is an abundant number, since it is smaller than the sum of its proper divisors (67615008).

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

38345952 is a wasteful number, since it uses less digits than its factorization.

38345952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21055 (or 21047 counting only the distinct ones).

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

The square root of 38345952 is about 6192.4108390836. The cubic root of 38345952 is about 337.2147076041.

The spelling of 38345952 in words is "thirty-eight million, three hundred forty-five thousand, nine hundred fifty-two".