38273722416000 has 192 divisors, whose sum is σ = 137450506143600. Its totient is φ = 10206325939200.

The previous prime is 38273722415947. The next prime is 38273722416047. The reversal of 38273722416000 is 61422737283.

38273722416000 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 37 + 2 + 2 + 4 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132750870 + ... + 133038869.

Almost surely, 2^{38273722416000} is an apocalyptic number.

38273722416000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38273722416000 is an abundant number, since it is smaller than the sum of its proper divisors (99176783727600).

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

38273722416000 is a wasteful number, since it uses less digits than its factorization.

38273722416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265789774 (or 265789749 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 38273722416000 in words is "thirty-eight trillion, two hundred seventy-three billion, seven hundred twenty-two million, four hundred sixteen thousand".