3499161120 has 1152 divisors, whose sum is σ = 16273281024. Its totient is φ = 689762304.

The previous prime is 3499161109. The next prime is 3499161137. The reversal of 3499161120 is 211619943.

It is a happy number.

3499161120 is a `hidden beast` number, since 3 + 499 + 161 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81375819 + ... + 81375861.

It is an arithmetic number, because the mean of its divisors is an integer number (14126112).

Almost surely, 2^3499161120 is an apocalyptic number.

3499161120 is a gapful number since it is divisible by the number (30) 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 3499161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136640512).

3499161120 is an abundant number, since it is smaller than the sum of its proper divisors (12774119904).

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

3499161120 is a wasteful number, since it uses less digits than its factorization.

3499161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3499161120 is about 59153.7075761106. The cubic root of 3499161120 is about 1518.1731746379.

The spelling of 3499161120 in words is "three billion, four hundred ninety-nine million, one hundred sixty-one thousand, one hundred twenty".