38077135824000 has 3072 divisors, whose sum is σ = 163640168939520. Its totient is φ = 7660044288000.

The previous prime is 38077135823981. The next prime is 38077135824019. The reversal of 38077135824000 is 42853177083.

It is an interprime number because it is at equal distance from previous prime (38077135823981) and next prime (38077135824019).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 170749487889 + ... + 170749488111.

It is an arithmetic number, because the mean of its divisors is an integer number (53268284160).

Almost surely, 2^{38077135824000} is an apocalyptic number.

38077135824000 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 38077135824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81820084469760).

38077135824000 is an abundant number, since it is smaller than the sum of its proper divisors (125563033115520).

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

38077135824000 is a wasteful number, since it uses less digits than its factorization.

38077135824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 38077135824000 in words is "thirty-eight trillion, seventy-seven billion, one hundred thirty-five million, eight hundred twenty-four thousand".