35974397484000 has 672 divisors, whose sum is σ = 132719607820800. Its totient is φ = 9578943360000.

The previous prime is 35974397483963. The next prime is 35974397484017. The reversal of 35974397484000 is 48479347953.

35974397484000 is a `hidden beast` number, since 3 + 5 + 97 + 439 + 74 + 8 + 40 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2044107201 + ... + 2044124799.

It is an arithmetic number, because the mean of its divisors is an integer number (197499416400).

Almost surely, 2^{35974397484000} is an apocalyptic number.

35974397484000 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 35974397484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66359803910400).

35974397484000 is an abundant number, since it is smaller than the sum of its proper divisors (96745210336800).

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

35974397484000 is an equidigital number, since it uses as much as digits as its factorization.

35974397484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18343 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 35974397484000 in words is "thirty-five trillion, nine hundred seventy-four billion, three hundred ninety-seven million, four hundred eighty-four thousand".