3500942933248 has 144 divisors (see below), whose sum is σ = 7534883865600. Its totient is φ = 1619700203520.

The previous prime is 3500942933227. The next prime is 3500942933291. The reversal of 3500942933248 is 8423392490053.

It is a super-2 number, since 2×3500942933248² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3500942933195 and 3500942933204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23630988 + ... + 23778676.

It is an arithmetic number, because the mean of its divisors is an integer number (52325582400).

Almost surely, 2^{3500942933248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3500942933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767441932800).

3500942933248 is an abundant number, since it is smaller than the sum of its proper divisors (4033940932352).

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

3500942933248 is a wasteful number, since it uses less digits than its factorization.

3500942933248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147868 (or 147854 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 3500942933248 in words is "three trillion, five hundred billion, nine hundred forty-two million, nine hundred thirty-three thousand, two hundred forty-eight".