38020362240 has 624 divisors, whose sum is σ = 144279288288. Its totient is φ = 8521777152.

The previous prime is 38020362239. The next prime is 38020362241. The reversal of 38020362240 is 4226302083.

It is an interprime number because it is at equal distance from previous prime (38020362239) and next prime (38020362241).

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

It is a junction number, because it is equal to n+sod(n) for n = 38020362198 and 38020362207.

It is not an unprimeable number, because it can be changed into a prime (38020362241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 219770794 + ... + 219770966.

Almost surely, 2^38020362240 is an apocalyptic number.

38020362240 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 38020362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72139644144).

38020362240 is an abundant number, since it is smaller than the sum of its proper divisors (106258926048).

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

38020362240 is a wasteful number, since it uses less digits than its factorization.

38020362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 38020362240 in words is "thirty-eight billion, twenty million, three hundred sixty-two thousand, two hundred forty".