38006640 has 120 divisors (see below), whose sum is σ = 145892448. Its totient is φ = 8686080.

The previous prime is 38006629. The next prime is 38006641. The reversal of 38006640 is 4660083.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38006641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270 + ... + 8810.

Almost surely, 2^38006640 is an apocalyptic number.

38006640 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 38006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72946224).

38006640 is an abundant number, since it is smaller than the sum of its proper divisors (107885808).

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

38006640 is a wasteful number, since it uses less digits than its factorization.

38006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38006640 is about 6164.9525545620. The cubic root of 38006640 is about 336.2171215716.

It can be divided in two parts, 3800 and 6640, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 38006640 in words is "thirty-eight million, six thousand, six hundred forty".