38954430627840 has 2100 divisors, whose sum is σ = 175599866881404. Its totient is φ = 8218956791808.

The previous prime is 38954430627823. The next prime is 38954430627883. The reversal of 38954430627840 is 4872603445983.

38954430627840 is a `hidden beast` number, since 3 + 8 + 9 + 54 + 4 + 306 + 278 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9588782923776 + 29365647704064 = 3096576^2 + 5419008^2 .

It is a super-3 number, since 3×38954430627840³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2996494663674 + ... + 2996494663686.

Almost surely, 2^{38954430627840} is an apocalyptic number.

38954430627840 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 38954430627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87799933440702).

38954430627840 is an abundant number, since it is smaller than the sum of its proper divisors (136645436253564).

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

38954430627840 is an frugal number, since it uses more digits than its factorization.

38954430627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 38954430627840 in words is "thirty-eight trillion, nine hundred fifty-four billion, four hundred thirty million, six hundred twenty-seven thousand, eight hundred forty".