38368442880 has 400 divisors, whose sum is σ = 140806628424. Its totient is φ = 9979822080.

The previous prime is 38368442831. The next prime is 38368442923. The reversal of 38368442880 is 8824486383.

38368442880 is a `hidden beast` number, since 3 + 83 + 68 + 4 + 428 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7047938304 + 31320504576 = 83952^2 + 176976^2 .

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

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, 8499504 + ... + 8504016.

Almost surely, 2^38368442880 is an apocalyptic number.

38368442880 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 38368442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70403314212).

38368442880 is an abundant number, since it is smaller than the sum of its proper divisors (102438185544).

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

38368442880 is an equidigital number, since it uses as much as digits as its factorization.

38368442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 38368442880 in words is "thirty-eight billion, three hundred sixty-eight million, four hundred forty-two thousand, eight hundred eighty".