3495812320 has 576 divisors, whose sum is σ = 11793890304. Its totient is φ = 948879360.

The previous prime is 3495812293. The next prime is 3495812321. The reversal of 3495812320 is 232185943.

3495812320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3495812320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495812321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47887804 + ... + 47887876.

It is an arithmetic number, because the mean of its divisors is an integer number (20475504).

Almost surely, 2^3495812320 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 3495812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896945152).

3495812320 is an abundant number, since it is smaller than the sum of its proper divisors (8298077984).

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

3495812320 is a wasteful number, since it uses less digits than its factorization.

3495812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 3495812320 is about 59125.3948824023. The cubic root of 3495812320 is about 1517.6887079443.

It can be divided in two parts, 34958 and 12320, that added together give a triangular number (47278 = T₃₀₇).

The spelling of 3495812320 in words is "three billion, four hundred ninety-five million, eight hundred twelve thousand, three hundred twenty".