38061948540 has 240 divisors, whose sum is σ = 135636520320. Its totient is φ = 7908647040.

The previous prime is 38061948517. The next prime is 38061948563. The reversal of 38061948540 is 4584916083.

It is an interprime number because it is at equal distance from previous prime (38061948517) and next prime (38061948563).

It is a self number, because there is not a number n which added to its sum of digits gives 38061948540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1572651 + ... + 1596669.

It is an arithmetic number, because the mean of its divisors is an integer number (565152168).

Almost surely, 2^38061948540 is an apocalyptic number.

38061948540 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 38061948540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67818260160).

38061948540 is an abundant number, since it is smaller than the sum of its proper divisors (97574571780).

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

38061948540 is a wasteful number, since it uses less digits than its factorization.

38061948540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24070 (or 24047 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 38061948540 in words is "thirty-eight billion, sixty-one million, nine hundred forty-eight thousand, five hundred forty".