3495389760 has 336 divisors, whose sum is σ = 12647980800. Its totient is φ = 918687744.

The previous prime is 3495389759. The next prime is 3495389773. The reversal of 3495389760 is 679835943.

3495389760 is a `hidden beast` number, since 3 + 49 + 538 + 9 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3495389697 and 3495389706.

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 47 ways as a sum of consecutive naturals, for example, 6142756 + ... + 6143324.

It is an arithmetic number, because the mean of its divisors is an integer number (37642800).

Almost surely, 2^3495389760 is an apocalyptic number.

3495389760 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 3495389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323990400).

3495389760 is an abundant number, since it is smaller than the sum of its proper divisors (9152591040).

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

3495389760 is an equidigital number, since it uses as much as digits as its factorization.

3495389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3495389760 is about 59121.8213521877. The cubic root of 3495389760 is about 1517.6275547393.

The spelling of 3495389760 in words is "three billion, four hundred ninety-five million, three hundred eighty-nine thousand, seven hundred sixty".