38952345104640 has 4032 divisors, whose sum is σ = 176039300505600. Its totient is φ = 8126654054400.

The previous prime is 38952345104591. The next prime is 38952345104677. The reversal of 38952345104640 is 4640154325983.

It is a happy number.

38952345104640 is a `hidden beast` number, since 3 + 8 + 9 + 52 + 34 + 510 + 4 + 6 + 40 = 666.

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

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 447 ways as a sum of consecutive naturals, for example, 102776635971 + ... + 102776636349.

It is an arithmetic number, because the mean of its divisors is an integer number (43660540800).

Almost surely, 2^{38952345104640} is an apocalyptic number.

38952345104640 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 38952345104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88019650252800).

38952345104640 is an abundant number, since it is smaller than the sum of its proper divisors (137086955400960).

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

38952345104640 is a wasteful number, since it uses less digits than its factorization.

38952345104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 38952345104640 in words is "thirty-eight trillion, nine hundred fifty-two billion, three hundred forty-five million, one hundred four thousand, six hundred forty".