3484521216 has 324 divisors, whose sum is σ = 11450406240. Its totient is φ = 1017139200.

The previous prime is 3484521181. The next prime is 3484521259. The reversal of 3484521216 is 6121254843.

It is a happy number.

3484521216 is a `hidden beast` number, since 3 + 484 + 52 + 121 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8084521 + ... + 8084951.

It is an arithmetic number, because the mean of its divisors is an integer number (35340760).

Almost surely, 2^3484521216 is an apocalyptic number.

3484521216 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 3484521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725203120).

3484521216 is an abundant number, since it is smaller than the sum of its proper divisors (7965885024).

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

3484521216 is a wasteful number, since it uses less digits than its factorization.

3484521216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 476 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3484521216 is about 59029.8332709826. The cubic root of 3484521216 is about 1516.0529542468.

The spelling of 3484521216 in words is "three billion, four hundred eighty-four million, five hundred twenty-one thousand, two hundred sixteen".