38493840 has 160 divisors (see below), whose sum is σ = 148847616. Its totient is φ = 7994880.

The previous prime is 38493839. The next prime is 38493841. The reversal of 38493840 is 4839483.

It is an interprime number because it is at equal distance from previous prime (38493839) and next prime (38493841).

It is not an unprimeable number, because it can be changed into a prime (38493841) 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, 17439 + ... + 19521.

Almost surely, 2^38493840 is an apocalyptic number.

38493840 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 38493840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74423808).

38493840 is an abundant number, since it is smaller than the sum of its proper divisors (110353776).

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

38493840 is a wasteful number, since it uses less digits than its factorization.

38493840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 38493840 is about 6204.3404161925. The cubic root of 38493840 is about 337.6476610384.

The spelling of 38493840 in words is "thirty-eight million, four hundred ninety-three thousand, eight hundred forty".