38195798400 has 384 divisors, whose sum is σ = 140206874400. Its totient is φ = 10154926080.

The previous prime is 38195798393. The next prime is 38195798437. The reversal of 38195798400 is 489759183.

38195798400 is a `hidden beast` number, since 3 + 81 + 95 + 79 + 8 + 400 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56418862 + ... + 56419538.

Almost surely, 2^38195798400 is an apocalyptic number.

38195798400 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 38195798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70103437200).

38195798400 is an abundant number, since it is smaller than the sum of its proper divisors (102011076000).

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

38195798400 is a wasteful number, since it uses less digits than its factorization.

38195798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 38195798400 in words is "thirty-eight billion, one hundred ninety-five million, seven hundred ninety-eight thousand, four hundred".