38372101443234 has 256 divisors, whose sum is σ = 97071528960000. Its totient is φ = 11138313037824.

The previous prime is 38372101443227. The next prime is 38372101443239. The reversal of 38372101443234 is 43234410127383.

38372101443234 is a `hidden beast` number, since 3 + 8 + 3 + 72 + 101 + 443 + 2 + 34 = 666.

It is a super-3 number, since 3×38372101443234³ (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38372101443234.

It is not an unprimeable number, because it can be changed into a prime (38372101443239) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3402078007 + ... + 3402089285.

It is an arithmetic number, because the mean of its divisors is an integer number (379185660000).

Almost surely, 2^{38372101443234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38372101443234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48535764480000).

38372101443234 is an abundant number, since it is smaller than the sum of its proper divisors (58699427516766).

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

38372101443234 is a wasteful number, since it uses less digits than its factorization.

38372101443234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12374 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 38372101443234 in words is "thirty-eight trillion, three hundred seventy-two billion, one hundred one million, four hundred forty-three thousand, two hundred thirty-four".