38445372 has 108 divisors (see below), whose sum is σ = 115669008. Its totient is φ = 10540800.

The previous prime is 38445353. The next prime is 38445431. The reversal of 38445372 is 27354483.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (80640) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 630222 + ... + 630282.

Almost surely, 2^38445372 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 38445372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834504).

38445372 is an abundant number, since it is smaller than the sum of its proper divisors (77223636).

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

38445372 is a wasteful number, since it uses less digits than its factorization.

38445372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 114 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 38445372 is about 6200.4332106717. The cubic root of 38445372 is about 337.5058896092.

It can be divided in two parts, 3844 and 5372, that added together give a square (9216 = 96²).

The spelling of 38445372 in words is "thirty-eight million, four hundred forty-five thousand, three hundred seventy-two".