35384021674560 has 1792 divisors, whose sum is σ = 151690357324800. Its totient is φ = 7765469429760.

The previous prime is 35384021674487. The next prime is 35384021674571. The reversal of 35384021674560 is 6547612048353.

35384021674560 is a `hidden beast` number, since 3 + 5 + 3 + 8 + 4 + 0 + 2 + 1 + 6 + 74 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35384021674497 and 35384021674506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2938622140 + ... + 2938634180.

It is an arithmetic number, because the mean of its divisors is an integer number (84648636900).

Almost surely, 2^{35384021674560} is an apocalyptic number.

35384021674560 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 35384021674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75845178662400).

35384021674560 is an abundant number, since it is smaller than the sum of its proper divisors (116306335650240).

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

35384021674560 is a wasteful number, since it uses less digits than its factorization.

35384021674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 35384021674560 in words is "thirty-five trillion, three hundred eighty-four billion, twenty-one million, six hundred seventy-four thousand, five hundred sixty".