38385601920 has 384 divisors, whose sum is σ = 140083201440. Its totient is φ = 10040868864.

The previous prime is 38385601889. The next prime is 38385601921. The reversal of 38385601920 is 2910658383.

It is a happy number.

38385601920 is a `hidden beast` number, since 3 + 8 + 38 + 5 + 601 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385601921) 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, 8240232 + ... + 8244888.

Almost surely, 2^38385601920 is an apocalyptic number.

38385601920 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 38385601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70041600720).

38385601920 is an abundant number, since it is smaller than the sum of its proper divisors (101697599520).

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

38385601920 is an equidigital number, since it uses as much as digits as its factorization.

38385601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 38385601920 in words is "thirty-eight billion, three hundred eighty-five million, six hundred one thousand, nine hundred twenty".