3449198592 has 576 divisors, whose sum is σ = 12697776000. Its totient is φ = 919683072.

The previous prime is 3449198591. The next prime is 3449198617. The reversal of 3449198592 is 2958919443.

3449198592 is a `hidden beast` number, since 3 + 4 + 49 + 1 + 9 + 8 + 592 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449198591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51480543 + ... + 51480609.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 2^3449198592 is an apocalyptic number.

3449198592 is a gapful number since it is divisible by the number (32) 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 3449198592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888000).

3449198592 is an abundant number, since it is smaller than the sum of its proper divisors (9248577408).

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

3449198592 is a wasteful number, since it uses less digits than its factorization.

3449198592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 3449198592 is about 58729.8781881931. The cubic root of 3449198592 is about 1510.9127986838.

The spelling of 3449198592 in words is "three billion, four hundred forty-nine million, one hundred ninety-eight thousand, five hundred ninety-two".