3487384320 has 288 divisors, whose sum is σ = 12835404288. Its totient is φ = 790462464.

The previous prime is 3487384309. The next prime is 3487384321. The reversal of 3487384320 is 234837843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3487384321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682087 + ... + 3683033.

It is an arithmetic number, because the mean of its divisors is an integer number (44567376).

Almost surely, 2^3487384320 is an apocalyptic number.

3487384320 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 3487384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417702144).

3487384320 is an abundant number, since it is smaller than the sum of its proper divisors (9348019968).

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

3487384320 is a wasteful number, since it uses less digits than its factorization.

3487384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3487384320 is about 59054.0796219872. The cubic root of 3487384320 is about 1516.4680690463.

The spelling of 3487384320 in words is "three billion, four hundred eighty-seven million, three hundred eighty-four thousand, three hundred twenty".