3508462080000 has 1040 divisors, whose sum is σ = 13105500397440. Its totient is φ = 927203328000.

The previous prime is 3508462079929. The next prime is 3508462080007. The reversal of 3508462080000 is 802648053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3508462080007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13340159869 + ... + 13340160131.

Almost surely, 2^{3508462080000} is an apocalyptic number.

3508462080000 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 3508462080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552750198720).

3508462080000 is an abundant number, since it is smaller than the sum of its proper divisors (9597038317440).

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

3508462080000 is an equidigital number, since it uses as much as digits as its factorization.

3508462080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 3508462080000 in words is "three trillion, five hundred eight billion, four hundred sixty-two million, eighty thousand".