3421264896 has 264 divisors, whose sum is σ = 11391211104. Its totient is φ = 968785920.

The previous prime is 3421264871. The next prime is 3421264961. The reversal of 3421264896 is 6984621243.

3421264896 is a `hidden beast` number, since 3 + 42 + 126 + 489 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (497664) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11676526 + ... + 11676818.

Almost surely, 2^3421264896 is an apocalyptic number.

3421264896 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 3421264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695605552).

3421264896 is an abundant number, since it is smaller than the sum of its proper divisors (7969946208).

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

3421264896 is a wasteful number, since it uses less digits than its factorization.

3421264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3421264896 is about 58491.5797016972. The cubic root of 3421264896 is about 1506.8229762735.

The spelling of 3421264896 in words is "three billion, four hundred twenty-one million, two hundred sixty-four thousand, eight hundred ninety-six".