38270870820 has 1152 divisors, whose sum is σ = 159761387520. Its totient is φ = 7524679680.

The previous prime is 38270870801. The next prime is 38270870831. The reversal of 38270870820 is 2807807283.

It is a super-2 number, since 2×38270870820² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 394545012 + ... + 394545108.

It is an arithmetic number, because the mean of its divisors is an integer number (138681760).

Almost surely, 2^38270870820 is an apocalyptic number.

38270870820 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 38270870820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79880693760).

38270870820 is an abundant number, since it is smaller than the sum of its proper divisors (121490516700).

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

38270870820 is a wasteful number, since it uses less digits than its factorization.

38270870820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 38270870820 in words is "thirty-eight billion, two hundred seventy million, eight hundred seventy thousand, eight hundred twenty".