38144540736 has 280 divisors, whose sum is σ = 117971352576. Its totient is φ = 12172861440.

The previous prime is 38144540723. The next prime is 38144540783. The reversal of 38144540736 is 63704544183.

38144540736 is a `hidden beast` number, since 38 + 1 + 4 + 4 + 540 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38144540691 and 38144540700.

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, 15587065 + ... + 15589511.

Almost surely, 2^38144540736 is an apocalyptic number.

38144540736 is a gapful number since it is divisible by the number (36) 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 38144540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58985676288).

38144540736 is an abundant number, since it is smaller than the sum of its proper divisors (79826811840).

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

38144540736 is a wasteful number, since it uses less digits than its factorization.

38144540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38144540736 in words is "thirty-eight billion, one hundred forty-four million, five hundred forty thousand, seven hundred thirty-six".