3484680192 has 228 divisors, whose sum is σ = 11559479776. Its totient is φ = 990904320.

The previous prime is 3484680191. The next prime is 3484680203. The reversal of 3484680192 is 2910864843.

It is a happy number.

3484680192 is a `hidden beast` number, since 3 + 484 + 6 + 80 + 1 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484680191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16514967 + ... + 16515177.

Almost surely, 2^3484680192 is an apocalyptic number.

3484680192 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 3484680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779739888).

3484680192 is an abundant number, since it is smaller than the sum of its proper divisors (8074799584).

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

3484680192 is an frugal number, since it uses more digits than its factorization.

3484680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3484680192 is about 59031.1798289684. The cubic root of 3484680192 is about 1516.0760097691.

The spelling of 3484680192 in words is "three billion, four hundred eighty-four million, six hundred eighty thousand, one hundred ninety-two".