38698352640 has 396 divisors, whose sum is σ = 139312751634. Its totient is φ = 10319560704.

The previous prime is 38698352617. The next prime is 38698352663. The reversal of 38698352640 is 4625389683.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (3!)⁶ ⋅ 2!.

38698352640 is a `hidden beast` number, since 38 + 6 + 9 + 83 + 526 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38698352617) and next prime (38698352663).

It can be written as a sum of positive squares in only one way, i.e., 34828517376 + 3869835264 = 186624^2 + 62208^2 .

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

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: 4320 × 2592 × 3456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 7739670526 + ... + 7739670530.

Almost surely, 2^38698352640 is an apocalyptic number.

38698352640 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 38698352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69656375817).

38698352640 is an abundant number, since it is smaller than the sum of its proper divisors (100614398994).

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

38698352640 is an frugal number, since it uses more digits than its factorization.

38698352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

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

38698352640 divided by its product of nonzero digits (7464960) gives a square (5184 = 72²).

The spelling of 38698352640 in words is "thirty-eight billion, six hundred ninety-eight million, three hundred fifty-two thousand, six hundred forty".