38474400 has 288 divisors, whose sum is σ = 141740928. Its totient is φ = 9011200.

The previous prime is 38474393. The next prime is 38474407. The reversal of 38474400 is 447483.

It is an interprime number because it is at equal distance from previous prime (38474393) and next prime (38474407).

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

It is not an unprimeable number, because it can be changed into a prime (38474407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938380 + ... + 938420.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^38474400 is an apocalyptic number.

38474400 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 38474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

38474400 is an abundant number, since it is smaller than the sum of its proper divisors (103266528).

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

38474400 is a wasteful number, since it uses less digits than its factorization.

38474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 38474400 is about 6202.7735731687. The cubic root of 38474400 is about 337.5908123253.

The spelling of 38474400 in words is "thirty-eight million, four hundred seventy-four thousand, four hundred".