38740800 has 168 divisors, whose sum is σ = 145385536. Its totient is φ = 8847360.

The previous prime is 38740799. The next prime is 38740817. The reversal of 38740800 is 804783.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33024 + ... + 34176.

Almost surely, 2^38740800 is an apocalyptic number.

38740800 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 38740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72692768).

38740800 is an abundant number, since it is smaller than the sum of its proper divisors (106644736).

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

38740800 is a wasteful number, since it uses less digits than its factorization.

38740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38740800 is about 6224.2107933456. The cubic root of 38740800 is about 338.3681899803.

The spelling of 38740800 in words is "thirty-eight million, seven hundred forty thousand, eight hundred".