38269440 has 240 divisors, whose sum is σ = 145544256. Its totient is φ = 9216000.

The previous prime is 38269381. The next prime is 38269457. The reversal of 38269440 is 4496283.

38269440 = 807² + 808² + ... + 861².

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 38269395 and 38269404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253365 + ... + 253515.

Almost surely, 2^38269440 is an apocalyptic number.

38269440 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 38269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

38269440 is an abundant number, since it is smaller than the sum of its proper divisors (107274816).

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

38269440 is a wasteful number, since it uses less digits than its factorization.

38269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38269440 is about 6186.2298696379. The cubic root of 38269440 is about 336.9902758218.

The spelling of 38269440 in words is "thirty-eight million, two hundred sixty-nine thousand, four hundred forty".