3454976378880 has 576 divisors, whose sum is σ = 13654064576880. Its totient is φ = 800424198144.

The previous prime is 3454976378851. The next prime is 3454976378929. The reversal of 3454976378880 is 888736794543.

3454976378880 is a `hidden beast` number, since 3 + 4 + 5 + 497 + 63 + 78 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 716772197376 + 2738204181504 = 846624^2 + 1654752^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 = 3454976378799 and 3454976378808.

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, 20282544 + ... + 20452176.

Almost surely, 2^{3454976378880} is an apocalyptic number.

3454976378880 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 3454976378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827032288440).

3454976378880 is an abundant number, since it is smaller than the sum of its proper divisors (10199088198000).

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

3454976378880 is a wasteful number, since it uses less digits than its factorization.

3454976378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169696 (or 169673 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 3454976378880 in words is "three trillion, four hundred fifty-four billion, nine hundred seventy-six million, three hundred seventy-eight thousand, eight hundred eighty".