3454404401700 has 216 divisors, whose sum is σ = 12383985082560. Its totient is φ = 788969376000.

The previous prime is 3454404401687. The next prime is 3454404401729. The reversal of 3454404401700 is 71044044543.

3454404401700 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 40 + 440 + 170 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7985571 + ... + 8407029.

Almost surely, 2^{3454404401700} is an apocalyptic number.

3454404401700 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 3454404401700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191992541280).

3454404401700 is an abundant number, since it is smaller than the sum of its proper divisors (8929580680860).

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

3454404401700 is a wasteful number, since it uses less digits than its factorization.

3454404401700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422787 (or 422777 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 3454404401700 in words is "three trillion, four hundred fifty-four billion, four hundred four million, four hundred one thousand, seven hundred".