38413440 has 384 divisors, whose sum is σ = 155937600. Its totient is φ = 8957952.

The previous prime is 38413423. The next prime is 38413447. The reversal of 38413440 is 4431483.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38413447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021751 + ... + 2021769.

Almost surely, 2^38413440 is an apocalyptic number.

38413440 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 38413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

38413440 is an abundant number, since it is smaller than the sum of its proper divisors (117524160).

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

38413440 is a wasteful number, since it uses less digits than its factorization.

38413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38413440 is about 6197.8576943973. The cubic root of 38413440 is about 337.4124217206.

It can be divided in two parts, 384 and 13440, that added together give a cube (13824 = 24³).

The spelling of 38413440 in words is "thirty-eight million, four hundred thirteen thousand, four hundred forty".