3460786560 has 1152 divisors, whose sum is σ = 16413546240. Its totient is φ = 676823040.

The previous prime is 3460786547. The next prime is 3460786603. The reversal of 3460786560 is 656870643.

3460786560 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 7 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3460786560² = 23954087227753267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203575672 + ... + 203575688.

It is an arithmetic number, because the mean of its divisors is an integer number (14247870).

Almost surely, 2^3460786560 is an apocalyptic number.

3460786560 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 3460786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206773120).

3460786560 is an abundant number, since it is smaller than the sum of its proper divisors (12952759680).

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

3460786560 is a wasteful number, since it uses less digits than its factorization.

3460786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3460786560 is about 58828.4502600570. The cubic root of 3460786560 is about 1512.6029341416.

The spelling of 3460786560 in words is "three billion, four hundred sixty million, seven hundred eighty-six thousand, five hundred sixty".