38053229760 has 1680 divisors, whose sum is σ = 179798325696. Its totient is φ = 7453016064.

The previous prime is 38053229749. The next prime is 38053229783. The reversal of 38053229760 is 6792235083.

38053229760 is a `hidden beast` number, since 38 + 0 + 532 + 29 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 521277084 + ... + 521277156.

Almost surely, 2^38053229760 is an apocalyptic number.

38053229760 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 38053229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89899162848).

38053229760 is an abundant number, since it is smaller than the sum of its proper divisors (141745095936).

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

38053229760 is a wasteful number, since it uses less digits than its factorization.

38053229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38053229760 in words is "thirty-eight billion, fifty-three million, two hundred twenty-nine thousand, seven hundred sixty".