3426854000 has 80 divisors (see below), whose sum is σ = 8300200896. Its totient is φ = 1368416000.

The previous prime is 3426853961. The next prime is 3426854017. The reversal of 3426854000 is 4586243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640957 + ... + 1643043.

Almost surely, 2^3426854000 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 3426854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150100448).

3426854000 is an abundant number, since it is smaller than the sum of its proper divisors (4873346896).

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

3426854000 is a wasteful number, since it uses less digits than its factorization.

3426854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3426854000 is about 58539.3372015775. The cubic root of 3426854000 is about 1507.6430636475.

The spelling of 3426854000 in words is "three billion, four hundred twenty-six million, eight hundred fifty-four thousand".