38740464000 has 1024 divisors, whose sum is σ = 170474803200. Its totient is φ = 8454758400.

The previous prime is 38740463969. The next prime is 38740464011. The reversal of 38740464000 is 46404783.

38740464000 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 0 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69551722 + ... + 69552278.

It is an arithmetic number, because the mean of its divisors is an integer number (166479300).

Almost surely, 2^38740464000 is an apocalyptic number.

38740464000 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 38740464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85237401600).

38740464000 is an abundant number, since it is smaller than the sum of its proper divisors (131734339200).

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

38740464000 is a wasteful number, since it uses less digits than its factorization.

38740464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 38740464000 its reverse (46404783), we get a palindrome (38786868783).

The spelling of 38740464000 in words is "thirty-eight billion, seven hundred forty million, four hundred sixty-four thousand".