3508950878496 has 864 divisors, whose sum is σ = 12545625351168. Its totient is φ = 944935165440.

The previous prime is 3508950878467. The next prime is 3508950878501. The reversal of 3508950878496 is 6948780598053.

3508950878496 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 9 + 50 + 87 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 5560936101 + ... + 5560936731.

It is an arithmetic number, because the mean of its divisors is an integer number (14520399712).

Almost surely, 2^{3508950878496} is an apocalyptic number.

3508950878496 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 3508950878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272812675584).

3508950878496 is an abundant number, since it is smaller than the sum of its proper divisors (9036674472672).

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

3508950878496 is a wasteful number, since it uses less digits than its factorization.

3508950878496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 3508950878496 in words is "three trillion, five hundred eight billion, nine hundred fifty million, eight hundred seventy-eight thousand, four hundred ninety-six".