38649600 has 324 divisors, whose sum is σ = 153214152. Its totient is φ = 9216000.

The previous prime is 38649599. The next prime is 38649607. The reversal of 38649600 is 694683.

38649600 is a `hidden beast` number, since 3 + 8 + 6 + 49 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38649607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633570 + ... + 633630.

Almost surely, 2^38649600 is an apocalyptic number.

38649600 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 38649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76607076).

38649600 is an abundant number, since it is smaller than the sum of its proper divisors (114564552).

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

38649600 is a wasteful number, since it uses less digits than its factorization.

38649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38649600 is about 6216.8802465545. The cubic root of 38649600 is about 338.1024630127.

The spelling of 38649600 in words is "thirty-eight million, six hundred forty-nine thousand, six hundred".