3453379200 has 288 divisors, whose sum is σ = 12973053600. Its totient is φ = 872294400.

The previous prime is 3453379187. The next prime is 3453379213. The reversal of 3453379200 is 29733543.

3453379200 is a `hidden beast` number, since 34 + 53 + 379 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (3453379187) and next prime (3453379213).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 544045 + ... + 550355.

It is an arithmetic number, because the mean of its divisors is an integer number (45045325).

Almost surely, 2^3453379200 is an apocalyptic number.

3453379200 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 3453379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486526800).

3453379200 is an abundant number, since it is smaller than the sum of its proper divisors (9519674400).

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

3453379200 is a wasteful number, since it uses less digits than its factorization.

3453379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3453379200 is about 58765.4592426538. The cubic root of 3453379200 is about 1511.5229871757.

The spelling of 3453379200 in words is "three billion, four hundred fifty-three million, three hundred seventy-nine thousand, two hundred".