3349958268000 has 96 divisors (see below), whose sum is σ = 10974463325280. Its totient is φ = 893322201600.

The previous prime is 3349958267983. The next prime is 3349958268001. The reversal of 3349958268000 is 8628599433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3349958268000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349958268001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139569595 + ... + 139593594.

It is an arithmetic number, because the mean of its divisors is an integer number (114317326305).

Almost surely, 2^{3349958268000} is an apocalyptic number.

3349958268000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3349958268000 is an abundant number, since it is smaller than the sum of its proper divisors (7624505057280).

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

3349958268000 is a wasteful number, since it uses less digits than its factorization.

3349958268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279163217 (or 279163199 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 3349958268000 in words is "three trillion, three hundred forty-nine billion, nine hundred fifty-eight million, two hundred sixty-eight thousand".