38629440 has 224 divisors, whose sum is σ = 144840960. Its totient is φ = 9658368.

The previous prime is 38629439. The next prime is 38629447. The reversal of 38629440 is 4492683.

It is a happy number.

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 = 38629395 and 38629404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38629447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146749 + ... + 147011.

Almost surely, 2^38629440 is an apocalyptic number.

38629440 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 38629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72420480).

38629440 is an abundant number, since it is smaller than the sum of its proper divisors (106211520).

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

38629440 is a wasteful number, since it uses less digits than its factorization.

38629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

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

The square root of 38629440 is about 6215.2586430494. The cubic root of 38629440 is about 338.0436669655.

The spelling of 38629440 in words is "thirty-eight million, six hundred twenty-nine thousand, four hundred forty".