3464460900 has 54 divisors (see below), whose sum is σ = 10859163042. Its totient is φ = 923856000.

The previous prime is 3464460899. The next prime is 3464460907. The reversal of 3464460900 is 90644643.

3464460900 is a `hidden beast` number, since 3 + 4 + 6 + 44 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18301284 + 3446159616 = 4278^2 + 58704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3464460907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1923801 + ... + 1925600.

Almost surely, 2^3464460900 is an apocalyptic number.

3464460900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3464460900 is an abundant number, since it is smaller than the sum of its proper divisors (7394702142).

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

3464460900 is a wasteful number, since it uses less digits than its factorization.

3464460900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849421 (or 3849411 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3464460900 is about 58859.6712529046. The cubic root of 3464460900 is about 1513.1380583207.

The spelling of 3464460900 in words is "three billion, four hundred sixty-four million, four hundred sixty thousand, nine hundred".