3483467520 has 288 divisors, whose sum is σ = 12373100544. Its totient is φ = 829440000.

The previous prime is 3483467513. The next prime is 3483467549. The reversal of 3483467520 is 257643843.

3483467520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546395 + ... + 1548645.

Almost surely, 2^3483467520 is an apocalyptic number.

3483467520 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 3483467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186550272).

3483467520 is an abundant number, since it is smaller than the sum of its proper divisors (8889633024).

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

3483467520 is a wasteful number, since it uses less digits than its factorization.

3483467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3483467520 is about 59020.9074820101. The cubic root of 3483467520 is about 1515.9001240700.

The spelling of 3483467520 in words is "three billion, four hundred eighty-three million, four hundred sixty-seven thousand, five hundred twenty".