3456064620 has 72 divisors (see below), whose sum is σ = 10517060736. Its totient is φ = 918657792.

The previous prime is 3456064567. The next prime is 3456064621. The reversal of 3456064620 is 264606543.

3456064620 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 0 + 646 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3456064621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25669 + ... + 87011.

It is an arithmetic number, because the mean of its divisors is an integer number (146070288).

Almost surely, 2^3456064620 is an apocalyptic number.

3456064620 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 3456064620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258530368).

3456064620 is an abundant number, since it is smaller than the sum of its proper divisors (7060996116).

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

3456064620 is a wasteful number, since it uses less digits than its factorization.

3456064620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61671 (or 61666 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3456064620 is about 58788.3034284882. The cubic root of 3456064620 is about 1511.9146829746.

The spelling of 3456064620 in words is "three billion, four hundred fifty-six million, sixty-four thousand, six hundred twenty".