38601600 has 96 divisors (see below), whose sum is σ = 127175640. Its totient is φ = 10291200.

The previous prime is 38601583. The next prime is 38601601. The reversal of 38601600 is 610683.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38601601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7590 + ... + 11610.

Almost surely, 2^38601600 is an apocalyptic number.

38601600 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 38601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63587820).

38601600 is an abundant number, since it is smaller than the sum of its proper divisors (88574040).

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

38601600 is a wasteful number, since it uses less digits than its factorization.

38601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38601600 is about 6213.0185900253. The cubic root of 38601600 is about 337.9624387844.

It can be divided in two parts, 3860 and 1600, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 38601600 in words is "thirty-eight million, six hundred one thousand, six hundred".