38455095600 has 480 divisors, whose sum is σ = 144971078400. Its totient is φ = 9654681600.

The previous prime is 38455095587. The next prime is 38455095611. The reversal of 38455095600 is 659055483.

38455095600 is a `hidden beast` number, since 3 + 8 + 4 + 550 + 95 + 6 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39603115 + ... + 39604085.

It is an arithmetic number, because the mean of its divisors is an integer number (302023080).

Almost surely, 2^38455095600 is an apocalyptic number.

38455095600 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 38455095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72485539200).

38455095600 is an abundant number, since it is smaller than the sum of its proper divisors (106515982800).

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

38455095600 is a wasteful number, since it uses less digits than its factorization.

38455095600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 38455095600 in words is "thirty-eight billion, four hundred fifty-five million, ninety-five thousand, six hundred".