3240120000 has 560 divisors, whose sum is σ = 12086531072. Its totient is φ = 760320000.

The previous prime is 3240119977. The next prime is 3240120019. The reversal of 3240120000 is 210423.

It is a super-2 number, since 2×3240120000² = 20996755228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48359967 + ... + 48360033.

Almost surely, 2^3240120000 is an apocalyptic number.

3240120000 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 3240120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043265536).

3240120000 is an abundant number, since it is smaller than the sum of its proper divisors (8846411072).

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

3240120000 is a wasteful number, since it uses less digits than its factorization.

3240120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3240120000 is about 56922.0519658243. The cubic root of 3240120000 is about 1479.7455126103.

Adding to 3240120000 its reverse (210423), we get a palindrome (3240330423).

The spelling of 3240120000 in words is "three billion, two hundred forty million, one hundred twenty thousand".