3460747360 has 192 divisors, whose sum is σ = 9603764352. Its totient is φ = 1153990656.

The previous prime is 3460747337. The next prime is 3460747361. The reversal of 3460747360 is 637470643.

It is a super-3 number, since 3×3460747360³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460747361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10269112 + ... + 10269448.

It is an arithmetic number, because the mean of its divisors is an integer number (50019606).

Almost surely, 2^3460747360 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 3460747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801882176).

3460747360 is an abundant number, since it is smaller than the sum of its proper divisors (6143016992).

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

3460747360 is a wasteful number, since it uses less digits than its factorization.

3460747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The square root of 3460747360 is about 58828.1170869849. The cubic root of 3460747360 is about 1512.5972230835.

The spelling of 3460747360 in words is "three billion, four hundred sixty million, seven hundred forty-seven thousand, three hundred sixty".