38423840400 has 675 divisors, whose sum is σ = 152308222105. Its totient is φ = 9314870400.

The previous prime is 38423840387. The next prime is 38423840423. The reversal of 38423840400 is 404832483.

The square root of 38423840400 is 196020.

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

38423840400 is a `hidden beast` number, since 384 + 238 + 4 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13832582544 + 24591257856 = 117612^2 + 156816^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×38423840400² (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 an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3493076395 + ... + 3493076405.

Almost surely, 2^38423840400 is an apocalyptic number.

38423840400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38423840400 is the 196020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38423840400

38423840400 is an abundant number, since it is smaller than the sum of its proper divisors (113884381705).

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

38423840400 is an frugal number, since it uses more digits than its factorization.

38423840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Multiplying 38423840400 by its sum of digits (36), we get a square (1383258254400 = 1176120²).

38423840400 divided by its sum of digits (36) gives a square (1067328900 = 32670²).

The spelling of 38423840400 in words is "thirty-eight billion, four hundred twenty-three million, eight hundred forty thousand, four hundred".