38272269312000 has 1120 divisors, whose sum is σ = 143650723376160. Its totient is φ = 10137482035200.

The previous prime is 38272269311987. The next prime is 38272269312031. The reversal of 38272269312000 is 21396227283.

38272269312000 is a `hidden beast` number, since 3 + 8 + 2 + 72 + 269 + 312 + 0 + 0 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 13022206531 + ... + 13022209469.

It is an arithmetic number, because the mean of its divisors is an integer number (128259574443).

Almost surely, 2^{38272269312000} is an apocalyptic number.

38272269312000 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 38272269312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71825361688080).

38272269312000 is an abundant number, since it is smaller than the sum of its proper divisors (105378454064160).

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

38272269312000 is an equidigital number, since it uses as much as digits as its factorization.

38272269312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38272269312000 in words is "thirty-eight trillion, two hundred seventy-two billion, two hundred sixty-nine million, three hundred twelve thousand".