3465864000 has 336 divisors, whose sum is σ = 12742840656. Its totient is φ = 898560000.

The previous prime is 3465863981. The next prime is 3465864007. The reversal of 3465864000 is 4685643.

3465864000 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 8 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1614110976 + 1851753024 = 40176^2 + 43032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465864007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663350 + ... + 2664650.

It is an arithmetic number, because the mean of its divisors is an integer number (37925121).

Almost surely, 2^3465864000 is an apocalyptic number.

3465864000 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 3465864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371420328).

3465864000 is an abundant number, since it is smaller than the sum of its proper divisors (9276976656).

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

3465864000 is a wasteful number, since it uses less digits than its factorization.

3465864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3465864000 is about 58871.5890731684. The cubic root of 3465864000 is about 1513.3423034178.

The spelling of 3465864000 in words is "three billion, four hundred sixty-five million, eight hundred sixty-four thousand".