38348078346240 has 1248 divisors, whose sum is σ = 140425707179520. Its totient is φ = 8880781787136.

The previous prime is 38348078346239. The next prime is 38348078346241. The reversal of 38348078346240 is 4264387084383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38348078346239) and next prime (38348078346241).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×38348078346240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38348078346241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51612487309 + ... + 51612488051.

Almost surely, 2^{38348078346240} is an apocalyptic number.

38348078346240 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 38348078346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70212853589760).

38348078346240 is an abundant number, since it is smaller than the sum of its proper divisors (102077628833280).

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

38348078346240 is a wasteful number, since it uses less digits than its factorization.

38348078346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 38348078346240 in words is "thirty-eight trillion, three hundred forty-eight billion, seventy-eight million, three hundred forty-six thousand, two hundred forty".