38463897600 has 768 divisors, whose sum is σ = 148224441600. Its totient is φ = 9767485440.

The previous prime is 38463897583. The next prime is 38463897617. The reversal of 38463897600 is 679836483.

38463897600 is a `hidden beast` number, since 38 + 463 + 8 + 97 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38463897583) and next prime (38463897617).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818380777 + ... + 818380823.

It is an arithmetic number, because the mean of its divisors is an integer number (193000575).

Almost surely, 2^38463897600 is an apocalyptic number.

38463897600 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 38463897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74112220800).

38463897600 is an abundant number, since it is smaller than the sum of its proper divisors (109760544000).

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

38463897600 is an equidigital number, since it uses as much as digits as its factorization.

38463897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38463897600 in words is "thirty-eight billion, four hundred sixty-three million, eight hundred ninety-seven thousand, six hundred".