38248694415360 has 1280 divisors, whose sum is σ = 159812896320000. Its totient is φ = 8556883476480.

The previous prime is 38248694415329. The next prime is 38248694415403. The reversal of 38248694415360 is 6351449684283.

38248694415360 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 8 + 6 + 94 + 4 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10121377951 + ... + 10121381729.

It is an arithmetic number, because the mean of its divisors is an integer number (124853825250).

Almost surely, 2^{38248694415360} is an apocalyptic number.

38248694415360 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 38248694415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79906448160000).

38248694415360 is an abundant number, since it is smaller than the sum of its proper divisors (121564201904640).

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

38248694415360 is an equidigital number, since it uses as much as digits as its factorization.

38248694415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 38248694415360 in words is "thirty-eight trillion, two hundred forty-eight billion, six hundred ninety-four million, four hundred fifteen thousand, three hundred sixty".