3495123360 has 144 divisors (see below), whose sum is σ = 12071221344. Its totient is φ = 920772096.

The previous prime is 3495123343. The next prime is 3495123383. The reversal of 3495123360 is 633215943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 104899 + ... + 134141.

It is an arithmetic number, because the mean of its divisors is an integer number (83827926).

Almost surely, 2^3495123360 is an apocalyptic number.

3495123360 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 3495123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035610672).

3495123360 is an abundant number, since it is smaller than the sum of its proper divisors (8576097984).

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

3495123360 is a wasteful number, since it uses less digits than its factorization.

3495123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29347 (or 29336 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3495123360 is about 59119.5683340127. The cubic root of 3495123360 is about 1517.5889985954.

It can be divided in two parts, 34951 and 23360, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 3495123360 in words is "three billion, four hundred ninety-five million, one hundred twenty-three thousand, three hundred sixty".