38323440 has 240 divisors, whose sum is σ = 142062336. Its totient is φ = 9216000.

The previous prime is 38323429. The next prime is 38323447. The reversal of 38323440 is 4432383.

38323440 = T₃₈₉ + T₃₉₀ + ... + T₆₆₀.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38323447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379390 + ... + 379490.

Almost surely, 2^38323440 is an apocalyptic number.

38323440 is a gapful number since it is divisible by the number (30) 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 38323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

38323440 is an abundant number, since it is smaller than the sum of its proper divisors (103738896).

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

38323440 is a wasteful number, since it uses less digits than its factorization.

38323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 38323440 is about 6190.5928633694. The cubic root of 38323440 is about 337.1487044307.

The spelling of 38323440 in words is "thirty-eight million, three hundred twenty-three thousand, four hundred forty".