38746400 has 288 divisors, whose sum is σ = 128241792. Its totient is φ = 11059200.

The previous prime is 38746399. The next prime is 38746423. The reversal of 38746400 is 464783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047182 + ... + 1047218.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^38746400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

38746400 is an abundant number, since it is smaller than the sum of its proper divisors (89495392).

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

38746400 is a wasteful number, since it uses less digits than its factorization.

38746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38746400 is about 6224.6606333197. The cubic root of 38746400 is about 338.3844929526.

The spelling of 38746400 in words is "thirty-eight million, seven hundred forty-six thousand, four hundred".