3427554144 has 192 divisors, whose sum is σ = 10949976576. Its totient is φ = 916414464.

The previous prime is 3427554133. The next prime is 3427554173. The reversal of 3427554144 is 4414557243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2249767 + ... + 2251289.

It is an arithmetic number, because the mean of its divisors is an integer number (57031128).

Almost surely, 2^3427554144 is an apocalyptic number.

3427554144 is a gapful number since it is divisible by the number (34) 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 3427554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474988288).

3427554144 is an abundant number, since it is smaller than the sum of its proper divisors (7522422432).

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

3427554144 is a wasteful number, since it uses less digits than its factorization.

3427554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1749 counting only the distinct ones).

The product of its digits is 268800, while the sum is 39.

The square root of 3427554144 is about 58545.3170116962. The cubic root of 3427554144 is about 1507.7457326811.

The spelling of 3427554144 in words is "three billion, four hundred twenty-seven million, five hundred fifty-four thousand, one hundred forty-four".