38701670400 has 420 divisors, whose sum is σ = 143430445422. Its totient is φ = 10316021760.

The previous prime is 38701670387. The next prime is 38701670401. The reversal of 38701670400 is 407610783.

It can be written as a sum of positive squares in 3 ways, for example, as 25825775616 + 12875894784 = 160704^2 + 113472^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38701670401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16587634 + ... + 16589966.

Almost surely, 2^38701670400 is an apocalyptic number.

38701670400 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 38701670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71715222711).

38701670400 is an abundant number, since it is smaller than the sum of its proper divisors (104728775022).

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

38701670400 is an equidigital number, since it uses as much as digits as its factorization.

38701670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 38701670400 in words is "thirty-eight billion, seven hundred one million, six hundred seventy thousand, four hundred".