3509453952000 has 1760 divisors, whose sum is σ = 13798821104640. Its totient is φ = 885841920000.

The previous prime is 3509453951989. The next prime is 3509453952019. The reversal of 3509453952000 is 2593549053.

3509453952000 is a `hidden beast` number, since 3 + 5 + 0 + 94 + 5 + 39 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19605887911 + ... + 19605888089.

It is an arithmetic number, because the mean of its divisors is an integer number (7840239264).

Almost surely, 2^{3509453952000} is an apocalyptic number.

3509453952000 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 3509453952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899410552320).

3509453952000 is an abundant number, since it is smaller than the sum of its proper divisors (10289367152640).

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

3509453952000 is a wasteful number, since it uses less digits than its factorization.

3509453952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 3509453952000 in words is "three trillion, five hundred nine billion, four hundred fifty-three million, nine hundred fifty-two thousand".