3460956096 has 336 divisors, whose sum is σ = 10925397504. Its totient is φ = 959219712.

The previous prime is 3460956091. The next prime is 3460956097. The reversal of 3460956096 is 6906590643.

It is a happy number.

It is a super-2 number, since 2×3460956096² = 23956434196879122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460956091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20724205 + ... + 20724371.

It is an arithmetic number, because the mean of its divisors is an integer number (32516064).

Almost surely, 2^3460956096 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 3460956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462698752).

3460956096 is an abundant number, since it is smaller than the sum of its proper divisors (7464441408).

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

3460956096 is a wasteful number, since it uses less digits than its factorization.

3460956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 3460956096 is about 58829.8911778698. The cubic root of 3460956096 is about 1512.6276333884.

The spelling of 3460956096 in words is "three billion, four hundred sixty million, nine hundred fifty-six thousand, ninety-six".