38570672448 has 1008 divisors, whose sum is σ = 152391953280. Its totient is φ = 9361059840.

The previous prime is 38570672417. The next prime is 38570672453. The reversal of 38570672448 is 84427607583.

38570672448 is a `hidden beast` number, since 3 + 8 + 570 + 6 + 7 + 24 + 48 = 666.

38570672448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38570672394 and 38570672403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 528365340 + ... + 528365412.

Almost surely, 2^38570672448 is an apocalyptic number.

38570672448 is a gapful number since it is divisible by the number (38) 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 38570672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76195976640).

38570672448 is an abundant number, since it is smaller than the sum of its proper divisors (113821280832).

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

38570672448 is a wasteful number, since it uses less digits than its factorization.

38570672448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 38570672448 in words is "thirty-eight billion, five hundred seventy million, six hundred seventy-two thousand, four hundred forty-eight".