38095805066400 has 288 divisors, whose sum is σ = 137801334525120. Its totient is φ = 10157295651840.

The previous prime is 38095805066377. The next prime is 38095805066479. The reversal of 38095805066400 is 466050859083.

It is a happy number.

38095805066400 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 580 + 50 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 141626434 + ... + 141895166.

It is an arithmetic number, because the mean of its divisors is an integer number (478476855990).

Almost surely, 2^{38095805066400} is an apocalyptic number.

38095805066400 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 38095805066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68900667262560).

38095805066400 is an abundant number, since it is smaller than the sum of its proper divisors (99705529458720).

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

38095805066400 is a wasteful number, since it uses less digits than its factorization.

38095805066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275325 (or 275306 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 38095805066400 in words is "thirty-eight trillion, ninety-five billion, eight hundred five million, sixty-six thousand, four hundred".