34985405952000 has 3744 divisors, whose sum is σ = 159926085096960. Its totient is φ = 7472126361600.

The previous prime is 34985405951989. The next prime is 34985405952023. The reversal of 34985405952000 is 25950458943.

34985405952000 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 5 + 40 + 595 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 251693567931 + ... + 251693568069.

Almost surely, 2^{34985405952000} is an apocalyptic number.

34985405952000 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 34985405952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79963042548480).

34985405952000 is an abundant number, since it is smaller than the sum of its proper divisors (124940679144960).

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

34985405952000 is an equidigital number, since it uses as much as digits as its factorization.

34985405952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 34985405952000 in words is "thirty-four trillion, nine hundred eighty-five billion, four hundred five million, nine hundred fifty-two thousand".