3460919616 has 672 divisors, whose sum is σ = 13723315200. Its totient is φ = 828610560.

The previous prime is 3460919599. The next prime is 3460919633. The reversal of 3460919616 is 6169190643.

3460919616 is a `hidden beast` number, since 3 + 460 + 91 + 96 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (3460919599) and next prime (3460919633).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 93538350 + ... + 93538386.

It is an arithmetic number, because the mean of its divisors is an integer number (20421600).

Almost surely, 2^3460919616 is an apocalyptic number.

3460919616 is a gapful number since it is divisible by the number (36) 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 3460919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861657600).

3460919616 is an abundant number, since it is smaller than the sum of its proper divisors (10262395584).

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

3460919616 is a wasteful number, since it uses less digits than its factorization.

3460919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3460919616 is about 58829.5811305843. The cubic root of 3460919616 is about 1512.6223187828.

The spelling of 3460919616 in words is "three billion, four hundred sixty million, nine hundred nineteen thousand, six hundred sixteen".