38404352 has 72 divisors (see below), whose sum is σ = 90753600. Its totient is φ = 15869952.

The previous prime is 38404313. The next prime is 38404361. The reversal of 38404352 is 25340483.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51599 + ... + 52337.

Almost surely, 2^38404352 is an apocalyptic number.

38404352 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 38404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45376800).

38404352 is an abundant number, since it is smaller than the sum of its proper divisors (52349248).

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

38404352 is an equidigital number, since it uses as much as digits as its factorization.

38404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 38404352 is about 6197.1244944732. The cubic root of 38404352 is about 337.3858108440.

It can be divided in two parts, 3840 and 4352, that added together give a 13-th power (8192 = 2¹³).

The spelling of 38404352 in words is "thirty-eight million, four hundred four thousand, three hundred fifty-two".