38249040 has 160 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 9584640.

The previous prime is 38249039. The next prime is 38249077. The reversal of 38249040 is 4094283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38248989 and 38249007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394272 + ... + 394368.

Almost surely, 2^38249040 is an apocalyptic number.

38249040 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 38249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

38249040 is an abundant number, since it is smaller than the sum of its proper divisors (87742896).

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

38249040 is a wasteful number, since it uses less digits than its factorization.

38249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38249040 is about 6184.5808265395. The cubic root of 38249040 is about 336.9303862291.

The spelling of 38249040 in words is "thirty-eight million, two hundred forty-nine thousand, forty".