3345120000 has 540 divisors, whose sum is σ = 12700671984. Its totient is φ = 844800000.

The previous prime is 3345119983. The next prime is 3345120001. The reversal of 3345120000 is 215433.

It is a super-2 number, since 2×3345120000² = 22379655628800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3345120001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33119950 + ... + 33120050.

Almost surely, 2^3345120000 is an apocalyptic number.

3345120000 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 3345120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350335992).

3345120000 is an abundant number, since it is smaller than the sum of its proper divisors (9355551984).

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

3345120000 is a wasteful number, since it uses less digits than its factorization.

3345120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3345120000 is about 57837.0123709723. The cubic root of 3345120000 is about 1495.5602051129.

Adding to 3345120000 its reverse (215433), we get a palindrome (3345335433).

The spelling of 3345120000 in words is "three billion, three hundred forty-five million, one hundred twenty thousand".