3454931311104 has 1280 divisors, whose sum is σ = 12062971920384. Its totient is φ = 854654976000.

The previous prime is 3454931311093. The next prime is 3454931311109. The reversal of 3454931311104 is 4011131394543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3454931311109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27204183489 + ... + 27204183615.

Almost surely, 2^{3454931311104} 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 3454931311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031485960192).

3454931311104 is an abundant number, since it is smaller than the sum of its proper divisors (8608040609280).

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

3454931311104 is a wasteful number, since it uses less digits than its factorization.

3454931311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 3454931311104 in words is "three trillion, four hundred fifty-four billion, nine hundred thirty-one million, three hundred eleven thousand, one hundred four".