38964000 has 192 divisors, whose sum is σ = 135862272. Its totient is φ = 9728000.

The previous prime is 38963941. The next prime is 38964007. The reversal of 38964000 is 46983.

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

It is not an unprimeable number, because it can be changed into a prime (38964007) 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, 203905 + ... + 204095.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^38964000 is an apocalyptic number.

38964000 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 38964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

38964000 is an abundant number, since it is smaller than the sum of its proper divisors (96898272).

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

38964000 is a wasteful number, since it uses less digits than its factorization.

38964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38964000 is about 6242.1150261750. The cubic root of 38964000 is about 339.0167672113.

The spelling of 38964000 in words is "thirty-eight million, nine hundred sixty-four thousand".