38348352 has 84 divisors (see below), whose sum is σ = 125634496. Its totient is φ = 10955520.

The previous prime is 38348347. The next prime is 38348363. The reversal of 38348352 is 25384383.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×38348352² = 2941192202231808, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724 + ... + 8787.

Almost surely, 2^38348352 is an apocalyptic number.

38348352 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 38348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62817248).

38348352 is an abundant number, since it is smaller than the sum of its proper divisors (87286144).

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

38348352 is a wasteful number, since it uses less digits than its factorization.

38348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9523 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 38348352 is about 6192.6046216435. The cubic root of 38348352 is about 337.2217426657.

The spelling of 38348352 in words is "thirty-eight million, three hundred forty-eight thousand, three hundred fifty-two".