38790441360 has 720 divisors, whose sum is σ = 151154325504. Its totient is φ = 8895744000.

The previous prime is 38790441353. The next prime is 38790441377. The reversal of 38790441360 is 6314409783.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143138025 + ... + 143138295.

Almost surely, 2^38790441360 is an apocalyptic number.

38790441360 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 38790441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75577162752).

38790441360 is an abundant number, since it is smaller than the sum of its proper divisors (112363884144).

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

38790441360 is a wasteful number, since it uses less digits than its factorization.

38790441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38790441360 in words is "thirty-eight billion, seven hundred ninety million, four hundred forty-one thousand, three hundred sixty".