38077296156000 has 1152 divisors, whose sum is σ = 144974011133952. Its totient is φ = 9805224960000.

The previous prime is 38077296155999. The next prime is 38077296156049. The reversal of 38077296156000 is 65169277083.

38077296156000 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 7 + 29 + 6 + 1 + 5 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17868274935 + ... + 17868277065.

It is an arithmetic number, because the mean of its divisors is an integer number (125845495776).

Almost surely, 2^{38077296156000} is an apocalyptic number.

38077296156000 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 38077296156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72487005566976).

38077296156000 is an abundant number, since it is smaller than the sum of its proper divisors (106896714977952).

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

38077296156000 is a wasteful number, since it uses less digits than its factorization.

38077296156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 38077296156000 in words is "thirty-eight trillion, seventy-seven billion, two hundred ninety-six million, one hundred fifty-six thousand".