3460008960 has 396 divisors, whose sum is σ = 12570184848. Its totient is φ = 913711104.

The previous prime is 3460008949. The next prime is 3460008967. The reversal of 3460008960 is 698000643.

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

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3460008967) 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 35 ways as a sum of consecutive naturals, for example, 33592269 + ... + 33592371.

Almost surely, 2^3460008960 is an apocalyptic number.

3460008960 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 3460008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285092424).

3460008960 is an abundant number, since it is smaller than the sum of its proper divisors (9110175888).

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

3460008960 is an frugal number, since it uses more digits than its factorization.

3460008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3460008960 is about 58821.8408416466. The cubic root of 3460008960 is about 1512.4896373399.

The spelling of 3460008960 in words is "three billion, four hundred sixty million, eight thousand, nine hundred sixty".