38228070400 has 351 divisors, whose sum is σ = 104877244551. Its totient is φ = 13814661120.

The previous prime is 38228070343. The next prime is 38228070407. The reversal of 38228070400 is 407082283.

The square root of 38228070400 is 195520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9853341696 + 28374728704 = 99264^2 + 168448^2 .

It is a super-2 number, since 2×38228070400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38228070407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 813363177 + ... + 813363223.

Almost surely, 2^38228070400 is an apocalyptic number.

38228070400 is the 195520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38228070400

38228070400 is an abundant number, since it is smaller than the sum of its proper divisors (66649174151).

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

38228070400 is an equidigital number, since it uses as much as digits as its factorization.

38228070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 38228070400 in words is "thirty-eight billion, two hundred twenty-eight million, seventy thousand, four hundred".