3461012064 has 168 divisors, whose sum is σ = 10337113080. Its totient is φ = 1140023808.

The previous prime is 3461012063. The next prime is 3461012117. The reversal of 3461012064 is 4602101643.

3461012064 is a `hidden beast` number, since 34 + 610 + 12 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461012063) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2075359 + ... + 2077025.

It is an arithmetic number, because the mean of its divisors is an integer number (61530435).

Almost surely, 2^3461012064 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 3461012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168556540).

3461012064 is an abundant number, since it is smaller than the sum of its proper divisors (6876101016).

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

3461012064 is an equidigital number, since it uses as much as digits as its factorization.

3461012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3461012064 is about 58830.3668525023. The cubic root of 3461012064 is about 1512.6357870396.

The spelling of 3461012064 in words is "three billion, four hundred sixty-one million, twelve thousand, sixty-four".