3465288900 has 108 divisors (see below), whose sum is σ = 10882210612. Its totient is φ = 922337280.

The previous prime is 3465288899. The next prime is 3465288907. The reversal of 3465288900 is 98825643.

3465288900 is a `hidden beast` number, since 3 + 46 + 528 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26873856 + 3438415044 = 5184^2 + 58638^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3465288907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 515964 + ... + 522636.

Almost surely, 2^3465288900 is an apocalyptic number.

3465288900 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 3465288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441105306).

3465288900 is an abundant number, since it is smaller than the sum of its proper divisors (7416921712).

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

3465288900 is a wasteful number, since it uses less digits than its factorization.

3465288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3465288900 is about 58866.7045111241. The cubic root of 3465288900 is about 1513.2585944877.

The spelling of 3465288900 in words is "three billion, four hundred sixty-five million, two hundred eighty-eight thousand, nine hundred".