35974854699840 has 3360 divisors, whose sum is σ = 161866888112160. Its totient is φ = 7534043725824.

The previous prime is 35974854699793. The next prime is 35974854699859. The reversal of 35974854699840 is 4899645847953.

It is a happy number.

35974854699840 is a `hidden beast` number, since 3 + 5 + 9 + 7 + 485 + 4 + 6 + 9 + 98 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 12924255081024 + 23050599618816 = 3595032^2 + 4801104^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 35974854699840.

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 186398210784 + ... + 186398210976.

It is an arithmetic number, because the mean of its divisors is an integer number (48174669081).

Almost surely, 2^{35974854699840} is an apocalyptic number.

35974854699840 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 35974854699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80933444056080).

35974854699840 is an abundant number, since it is smaller than the sum of its proper divisors (125892033412320).

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

35974854699840 is a wasteful number, since it uses less digits than its factorization.

35974854699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 9405849600, while the sum is 81.

The spelling of 35974854699840 in words is "thirty-five trillion, nine hundred seventy-four billion, eight hundred fifty-four million, six hundred ninety-nine thousand, eight hundred forty".