38698352640000 has 1155 divisors, whose sum is σ = 145071496263463. Its totient is φ = 10319560704000.

The previous prime is 38698352639983. The next prime is 38698352640007. The reversal of 38698352640000 is 4625389683.

The square root of 38698352640000 is 6220800.

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

It is a Jordan-Polya number, since it can be written as (6!)⁴ ⋅ 4! ⋅ 3!.

38698352640000 is a `hidden beast` number, since 38 + 6 + 9 + 83 + 526 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3033950846976 + 35664401793024 = 1741824^2 + 5971968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 43200 × 25920 × 34560.

It is not an unprimeable number, because it can be changed into a prime (38698352640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 7739670527998 + ... + 7739670528002.

Almost surely, 2^{38698352640000} is an apocalyptic number.

38698352640000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38698352640000 is the 6220800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38698352640000

38698352640000 is an abundant number, since it is smaller than the sum of its proper divisors (106373143623463).

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

38698352640000 is an frugal number, since it uses more digits than its factorization.

38698352640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38698352640000 in words is "thirty-eight trillion, six hundred ninety-eight billion, three hundred fifty-two million, six hundred forty thousand".