3463577856 has 108 divisors (see below), whose sum is σ = 10123639708. Its totient is φ = 1138655232.

The previous prime is 3463577837. The next prime is 3463577867. The reversal of 3463577856 is 6587753643.

3463577856 is a `hidden beast` number, since 3 + 4 + 63 + 577 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2828537856 + 635040000 = 53184^2 + 25200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157896 + ... + 178488.

Almost surely, 2^3463577856 is an apocalyptic number.

3463577856 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 3463577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061819854).

3463577856 is an abundant number, since it is smaller than the sum of its proper divisors (6660061852).

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

3463577856 is a wasteful number, since it uses less digits than its factorization.

3463577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20688 (or 20671 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 3463577856 is about 58852.1695097131. The cubic root of 3463577856 is about 1513.0094879541.

The spelling of 3463577856 in words is "three billion, four hundred sixty-three million, five hundred seventy-seven thousand, eight hundred fifty-six".