38214167040 has 600 divisors, whose sum is σ = 159259702932. Its totient is φ = 8732344320.

The previous prime is 38214167039. The next prime is 38214167087. The reversal of 38214167040 is 4076141283.

It can be written as a sum of positive squares in 2 ways, for example, as 37847367936 + 366799104 = 194544^2 + 19152^2 .

It is a super-2 number, since 2×38214167040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38214166986 and 38214167004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10158760 + ... + 10162520.

Almost surely, 2^38214167040 is an apocalyptic number.

38214167040 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 38214167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79629851466).

38214167040 is an abundant number, since it is smaller than the sum of its proper divisors (121045535892).

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

38214167040 is an equidigital number, since it uses as much as digits as its factorization.

38214167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38214167040 in words is "thirty-eight billion, two hundred fourteen million, one hundred sixty-seven thousand, forty".