38452065120 has 768 divisors, whose sum is σ = 160683264000. Its totient is φ = 8402558976.

The previous prime is 38452065083. The next prime is 38452065131. The reversal of 38452065120 is 2156025483.

38452065120 is a `hidden beast` number, since 3 + 8 + 4 + 520 + 6 + 5 + 120 = 666.

It is a super-2 number, since 2×38452065120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142944346 + ... + 142944614.

It is an arithmetic number, because the mean of its divisors is an integer number (209223000).

Almost surely, 2^38452065120 is an apocalyptic number.

38452065120 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 38452065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80341632000).

38452065120 is an abundant number, since it is smaller than the sum of its proper divisors (122231198880).

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

38452065120 is a wasteful number, since it uses less digits than its factorization.

38452065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 38452065120 in words is "thirty-eight billion, four hundred fifty-two million, sixty-five thousand, one hundred twenty".