38258084537344 has 297 divisors, whose sum is σ = 90849777820851. Its totient is φ = 16056080302080.

The previous prime is 38258084537317. The next prime is 38258084537381. The reversal of 38258084537344 is 44373548085283.

The square root of 38258084537344 is 6185312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2770969600 + 38255313567744 = 52640^2 + 6185088^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73432023804 + ... + 73432024324.

Almost surely, 2^{38258084537344} is an apocalyptic number.

38258084537344 is the 6185312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38258084537344

38258084537344 is an abundant number, since it is smaller than the sum of its proper divisors (52591693283507).

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

38258084537344 is an frugal number, since it uses more digits than its factorization.

38258084537344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 64.

38258084537344 divided by its sum of digits (64) gives a square (597782570896 = 773164²).

The spelling of 38258084537344 in words is "thirty-eight trillion, two hundred fifty-eight billion, eighty-four million, five hundred thirty-seven thousand, three hundred forty-four".