38396042334000 has 1600 divisors, whose sum is σ = 152319570923520. Its totient is φ = 9265806950400.

The previous prime is 38396042333981. The next prime is 38396042334047. The reversal of 38396042334000 is 43324069383.

38396042334000 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 6 + 0 + 4 + 233 + 400 + 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 319 ways as a sum of consecutive naturals, for example, 23804117194 + ... + 23804118806.

Almost surely, 2^{38396042334000} is an apocalyptic number.

38396042334000 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 38396042334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76159785461760).

38396042334000 is an abundant number, since it is smaller than the sum of its proper divisors (113923528589520).

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

38396042334000 is a wasteful number, since it uses less digits than its factorization.

38396042334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 38396042334000 in words is "thirty-eight trillion, three hundred ninety-six billion, forty-two million, three hundred thirty-four thousand".