38887309440 has 768 divisors, whose sum is σ = 162620640000. Its totient is φ = 8888527872.

The previous prime is 38887309423. The next prime is 38887309441. The reversal of 38887309440 is 4490378883.

It is a super-2 number, since 2×38887309440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38887309441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5555329917 + ... + 5555329923.

It is an arithmetic number, because the mean of its divisors is an integer number (211745625).

Almost surely, 2^38887309440 is an apocalyptic number.

38887309440 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 38887309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81310320000).

38887309440 is an abundant number, since it is smaller than the sum of its proper divisors (123733330560).

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

38887309440 is an frugal number, since it uses more digits than its factorization.

38887309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38887309440 in words is "thirty-eight billion, eight hundred eighty-seven million, three hundred nine thousand, four hundred forty".