3453912900 has 135 divisors (see below), whose sum is σ = 11213393191. Its totient is φ = 919632960.

The previous prime is 3453912887. The next prime is 3453912901. The reversal of 3453912900 is 92193543.

It is a happy number.

The square root of 3453912900 is 58770.

It is a perfect power (a square), and thus also a powerful number.

3453912900 is a `hidden beast` number, since 34 + 539 + 1 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 584382276 + 2869530624 = 24174^2 + 53568^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3453912901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5288974 + ... + 5289626.

Almost surely, 2^3453912900 is an apocalyptic number.

3453912900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3453912900 is the 58770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3453912900

3453912900 is an abundant number, since it is smaller than the sum of its proper divisors (7759480291).

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

3453912900 is an equidigital number, since it uses as much as digits as its factorization.

3453912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 3453912900 is about 1511.6008489084.

Multiplying 3453912900 by its sum of digits (36), we get a square (124340864400 = 352620²).

3453912900 divided by its sum of digits (36) gives a square (95942025 = 9795²).

The spelling of 3453912900 in words is "three billion, four hundred fifty-three million, nine hundred twelve thousand, nine hundred".