3508166948832 has 1152 divisors, whose sum is σ = 14192889984000. Its totient is φ = 824919883776.

The previous prime is 3508166948791. The next prime is 3508166948857. The reversal of 3508166948832 is 2388496618053.

It is a happy number.

3508166948832 is a `hidden beast` number, since 3 + 50 + 8 + 16 + 69 + 488 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3508166948832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228552294 + ... + 228567642.

It is an arithmetic number, because the mean of its divisors is an integer number (12320217000).

Almost surely, 2^{3508166948832} is an apocalyptic number.

3508166948832 is a gapful number since it is divisible by the number (32) 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 3508166948832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096444992000).

3508166948832 is an abundant number, since it is smaller than the sum of its proper divisors (10684723035168).

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

3508166948832 is a wasteful number, since it uses less digits than its factorization.

3508166948832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3508166948832 in words is "three trillion, five hundred eight billion, one hundred sixty-six million, nine hundred forty-eight thousand, eight hundred thirty-two".