3460755456 has 364 divisors, whose sum is σ = 11101426120. Its totient is φ = 1074954240.

The previous prime is 3460755443. The next prime is 3460755481. The reversal of 3460755456 is 6545570643.

3460755456 is a `hidden beast` number, since 3 + 46 + 0 + 7 + 554 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56733666 + ... + 56733726.

Almost surely, 2^3460755456 is an apocalyptic number.

3460755456 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 3460755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550713060).

3460755456 is an abundant number, since it is smaller than the sum of its proper divisors (7640670664).

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

3460755456 is an frugal number, since it uses more digits than its factorization.

3460755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The square root of 3460755456 is about 58828.1858975780. The cubic root of 3460755456 is about 1512.5984025954.

The spelling of 3460755456 in words is "three billion, four hundred sixty million, seven hundred fifty-five thousand, four hundred fifty-six".