3454067468992 has 112 divisors (see below), whose sum is σ = 7866280350720. Its totient is φ = 1474092721152.

The previous prime is 3454067468987. The next prime is 3454067468993. The reversal of 3454067468992 is 2998647604543.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3454067468993) 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, 419331498 + ... + 419339734.

Almost surely, 2^{3454067468992} is an apocalyptic number.

3454067468992 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 3454067468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933140175360).

3454067468992 is an abundant number, since it is smaller than the sum of its proper divisors (4412212881728).

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

3454067468992 is a wasteful number, since it uses less digits than its factorization.

3454067468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12078 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 3454067468992 in words is "three trillion, four hundred fifty-four billion, sixty-seven million, four hundred sixty-eight thousand, nine hundred ninety-two".