38723497476480 has 320 divisors, whose sum is σ = 138777306109200. Its totient is φ = 10289773522944.

The previous prime is 38723497476467. The next prime is 38723497476491. The reversal of 38723497476480 is 8467479432783.

38723497476480 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 3 + 4 + 9 + 74 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 38723497476399 and 38723497476408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13350966 + ... + 15990474.

Almost surely, 2^{38723497476480} is an apocalyptic number.

38723497476480 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 38723497476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69388653054600).

38723497476480 is an abundant number, since it is smaller than the sum of its proper divisors (100053808632720).

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

38723497476480 is a wasteful number, since it uses less digits than its factorization.

38723497476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639823 (or 2639802 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 72.

The spelling of 38723497476480 in words is "thirty-eight trillion, seven hundred twenty-three billion, four hundred ninety-seven million, four hundred seventy-six thousand, four hundred eighty".