3240151680 has 256 divisors, whose sum is σ = 10857369600. Its totient is φ = 820334592.

The previous prime is 3240151639. The next prime is 3240151687. The reversal of 3240151680 is 861510423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3240151687) 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, 10554087 + ... + 10554393.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 2^3240151680 is an apocalyptic number.

3240151680 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 3240151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428684800).

3240151680 is an abundant number, since it is smaller than the sum of its proper divisors (7617217920).

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

3240151680 is a wasteful number, since it uses less digits than its factorization.

3240151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3240151680 is about 56922.3302404250. The cubic root of 3240151680 is about 1479.7503352903.

The spelling of 3240151680 in words is "three billion, two hundred forty million, one hundred fifty-one thousand, six hundred eighty".