38452443120 has 800 divisors, whose sum is σ = 167221380480. Its totient is φ = 7972577280.

The previous prime is 38452443049. The next prime is 38452443131. The reversal of 38452443120 is 2134425483.

38452443120 is a `hidden beast` number, since 3 + 8 + 4 + 524 + 4 + 3 + 120 = 666.

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 159 ways as a sum of consecutive naturals, for example, 35969946 + ... + 35971014.

Almost surely, 2^38452443120 is an apocalyptic number.

38452443120 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 38452443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83610690240).

38452443120 is an abundant number, since it is smaller than the sum of its proper divisors (128768937360).

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

38452443120 is a wasteful number, since it uses less digits than its factorization.

38452443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 38452443120 in words is "thirty-eight billion, four hundred fifty-two million, four hundred forty-three thousand, one hundred twenty".