38464000 has 80 divisors (see below), whose sum is σ = 96071976. Its totient is φ = 15360000.

The previous prime is 38463991. The next prime is 38464007. The reversal of 38464000 is 46483.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 20214016 = 4272^2 + 4496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38464007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63700 + ... + 64300.

Almost surely, 2^38464000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48035988).

38464000 is an abundant number, since it is smaller than the sum of its proper divisors (57607976).

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

38464000 is an frugal number, since it uses more digits than its factorization.

38464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 38464000 is about 6201.9351818606. The cubic root of 38464000 is about 337.5603915707.

The spelling of 38464000 in words is "thirty-eight million, four hundred sixty-four thousand".