38792078737920 has 800 divisors, whose sum is σ = 145300676197248. Its totient is φ = 9873036214272.

The previous prime is 38792078737801. The next prime is 38792078737927. The reversal of 38792078737920 is 2973787029783.

38792078737920 is a `hidden beast` number, since 3 + 87 + 92 + 0 + 78 + 7 + 379 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38792078737927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2227245052 + ... + 2227262468.

Almost surely, 2^{38792078737920} is an apocalyptic number.

38792078737920 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 38792078737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72650338098624).

38792078737920 is an abundant number, since it is smaller than the sum of its proper divisors (106508597459328).

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

38792078737920 is a wasteful number, since it uses less digits than its factorization.

38792078737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17942 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 38792078737920 in words is "thirty-eight trillion, seven hundred ninety-two billion, seventy-eight million, seven hundred thirty-seven thousand, nine hundred twenty".