35874989669376 has 704 divisors, whose sum is σ = 124915462479360. Its totient is φ = 10027173150720.

The previous prime is 35874989669263. The next prime is 35874989669411. The reversal of 35874989669376 is 67396698947853.

35874989669376 is a `hidden beast` number, since 3 + 5 + 8 + 7 + 4 + 98 + 96 + 69 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6709365135 + ... + 6709370481.

Almost surely, 2^{35874989669376} is an apocalyptic number.

35874989669376 is a gapful number since it is divisible by the number (36) 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 35874989669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62457731239680).

35874989669376 is an abundant number, since it is smaller than the sum of its proper divisors (89040472809984).

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

35874989669376 is a wasteful number, since it uses less digits than its factorization.

35874989669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7073 counting only the distinct ones).

The product of its digits is 88885278720, while the sum is 90.

The spelling of 35874989669376 in words is "thirty-five trillion, eight hundred seventy-four billion, nine hundred eighty-nine million, six hundred sixty-nine thousand, three hundred seventy-six".