3465561120 has 384 divisors, whose sum is σ = 12889497600. Its totient is φ = 766402560.

The previous prime is 3465561089. The next prime is 3465561137. The reversal of 3465561120 is 211655643.

It is a super-2 number, since 2×3465561120² = 24020227752911308800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17414781 + ... + 17414979.

It is an arithmetic number, because the mean of its divisors is an integer number (33566400).

Almost surely, 2^3465561120 is an apocalyptic number.

3465561120 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 3465561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444748800).

3465561120 is an abundant number, since it is smaller than the sum of its proper divisors (9423936480).

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

3465561120 is a wasteful number, since it uses less digits than its factorization.

3465561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3465561120 is about 58869.0166386360. The cubic root of 3465561120 is about 1513.2982187423.

The spelling of 3465561120 in words is "three billion, four hundred sixty-five million, five hundred sixty-one thousand, one hundred twenty".