3448114000 has 80 divisors (see below), whose sum is σ = 8700157440. Its totient is φ = 1319260800.

The previous prime is 3448113989. The next prime is 3448114009. The reversal of 3448114000 is 4118443.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3448114009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8521 + ... + 83479.

It is an arithmetic number, because the mean of its divisors is an integer number (108751968).

Almost surely, 2^3448114000 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 3448114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350078720).

3448114000 is an abundant number, since it is smaller than the sum of its proper divisors (5252043440).

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

3448114000 is a wasteful number, since it uses less digits than its factorization.

3448114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75005 (or 74989 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3448114000 is about 58720.6437294415. The cubic root of 3448114000 is about 1510.7544144790.

The spelling of 3448114000 in words is "three billion, four hundred forty-eight million, one hundred fourteen thousand".