3454927994880 has 768 divisors, whose sum is σ = 12719619993600. Its totient is φ = 865059471360.

The previous prime is 3454927994879. The next prime is 3454927994893. The reversal of 3454927994880 is 884997294543.

3454927994880 is a `hidden beast` number, since 3 + 4 + 5 + 492 + 7 + 99 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3454927994799 and 3454927994808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3558112795 + ... + 3558113765.

It is an arithmetic number, because the mean of its divisors is an integer number (16562005200).

Almost surely, 2^{3454927994880} is an apocalyptic number.

3454927994880 is a gapful number since it is divisible by the number (30) 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 3454927994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359809996800).

3454927994880 is an abundant number, since it is smaller than the sum of its proper divisors (9264691998720).

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

3454927994880 is a wasteful number, since it uses less digits than its factorization.

3454927994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 3454927994880 in words is "three trillion, four hundred fifty-four billion, nine hundred twenty-seven million, nine hundred ninety-four thousand, eight hundred eighty".