3495964320 has 384 divisors, whose sum is σ = 13076743680. Its totient is φ = 869253120.

The previous prime is 3495964301. The next prime is 3495964321. The reversal of 3495964320 is 234695943.

3495964320 is a `hidden beast` number, since 34 + 9 + 596 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3495964321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13292509 + ... + 13292771.

It is an arithmetic number, because the mean of its divisors is an integer number (34054020).

Almost surely, 2^3495964320 is an apocalyptic number.

3495964320 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 3495964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538371840).

3495964320 is an abundant number, since it is smaller than the sum of its proper divisors (9580779360).

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

3495964320 is a wasteful number, since it uses less digits than its factorization.

3495964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3495964320 is about 59126.6802721073. The cubic root of 3495964320 is about 1517.7107042949.

The spelling of 3495964320 in words is "three billion, four hundred ninety-five million, nine hundred sixty-four thousand, three hundred twenty".