38996640 has 288 divisors, whose sum is σ = 148599360. Its totient is φ = 9621504.

The previous prime is 38996621. The next prime is 38996641. The reversal of 38996640 is 4669983.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38996641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660931 + ... + 660989.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^38996640 is an apocalyptic number.

38996640 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 38996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

38996640 is an abundant number, since it is smaller than the sum of its proper divisors (109602720).

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

38996640 is a wasteful number, since it uses less digits than its factorization.

38996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 38996640 is about 6244.7289773056. The cubic root of 38996640 is about 339.1114051581. Note that the first 3 decimals are identical.

The spelling of 38996640 in words is "thirty-eight million, nine hundred ninety-six thousand, six hundred forty".