3412815120 has 800 divisors, whose sum is σ = 14519070720. Its totient is φ = 731566080.

The previous prime is 3412815101. The next prime is 3412815121. The reversal of 3412815120 is 215182143.

3412815120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3412815120² = 23294614086601228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3412815121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26872497 + ... + 26872623.

Almost surely, 2^3412815120 is an apocalyptic number.

3412815120 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 3412815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259535360).

3412815120 is an abundant number, since it is smaller than the sum of its proper divisors (11106255600).

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

3412815120 is a wasteful number, since it uses less digits than its factorization.

3412815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3412815120 is about 58419.3043436842. The cubic root of 3412815120 is about 1505.5814458818.

Adding to 3412815120 its reverse (215182143), we get a palindrome (3627997263).

The spelling of 3412815120 in words is "three billion, four hundred twelve million, eight hundred fifteen thousand, one hundred twenty".