38833478369280 has 2448 divisors, whose sum is σ = 167410025808480. Its totient is φ = 8604220391424.

The previous prime is 38833478369209. The next prime is 38833478369293. The reversal of 38833478369280 is 8296387433883.

It is a happy number.

38833478369280 is a `hidden beast` number, since 3 + 8 + 8 + 33 + 478 + 36 + 92 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38833478369199 and 38833478369208.

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, 144362372986 + ... + 144362373254.

Almost surely, 2^{38833478369280} is an apocalyptic number.

38833478369280 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 38833478369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83705012904240).

38833478369280 is an abundant number, since it is smaller than the sum of its proper divisors (128576547439200).

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

38833478369280 is an frugal number, since it uses more digits than its factorization.

38833478369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 38833478369280 in words is "thirty-eight trillion, eight hundred thirty-three billion, four hundred seventy-eight million, three hundred sixty-nine thousand, two hundred eighty".