38078705280 has 1024 divisors, whose sum is σ = 162860544000. Its totient is φ = 7325614080.

The previous prime is 38078705267. The next prime is 38078705311. The reversal of 38078705280 is 8250787083.

38078705280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 273947451 + ... + 273947589.

It is an arithmetic number, because the mean of its divisors is an integer number (159043500).

Almost surely, 2^38078705280 is an apocalyptic number.

38078705280 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 38078705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81430272000).

38078705280 is an abundant number, since it is smaller than the sum of its proper divisors (124781838720).

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

38078705280 is a wasteful number, since it uses less digits than its factorization.

38078705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 38078705280 in words is "thirty-eight billion, seventy-eight million, seven hundred five thousand, two hundred eighty".