3495000960 has 512 divisors, whose sum is σ = 13730342400. Its totient is φ = 843540480.

The previous prime is 3495000959. The next prime is 3495000973. The reversal of 3495000960 is 690005943.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 15396367 + ... + 15396593.

It is an arithmetic number, because the mean of its divisors is an integer number (26817075).

Almost surely, 2^3495000960 is an apocalyptic number.

3495000960 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 3495000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865171200).

3495000960 is an abundant number, since it is smaller than the sum of its proper divisors (10235341440).

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

3495000960 is an equidigital number, since it uses as much as digits as its factorization.

3495000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3495000960 is about 59118.5331347117. The cubic root of 3495000960 is about 1517.5712829535.

The spelling of 3495000960 in words is "three billion, four hundred ninety-five million, nine hundred sixty", and thus it is an aban number.