3460660896 has 192 divisors, whose sum is σ = 11992458240. Its totient is φ = 845967360.

The previous prime is 3460660867. The next prime is 3460660921. The reversal of 3460660896 is 6980660643.

3460660896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111895 + ... + 139433.

It is an arithmetic number, because the mean of its divisors is an integer number (62460720).

Almost surely, 2^3460660896 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 3460660896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996229120).

3460660896 is an abundant number, since it is smaller than the sum of its proper divisors (8531797344).

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

3460660896 is a wasteful number, since it uses less digits than its factorization.

3460660896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27587 (or 27579 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 3460660896 is about 58827.3821957088. The cubic root of 3460660896 is about 1512.5846259687.

The spelling of 3460660896 in words is "three billion, four hundred sixty million, six hundred sixty thousand, eight hundred ninety-six".