3493363200 has 240 divisors, whose sum is σ = 11941847280. Its totient is φ = 899153920.

The previous prime is 3493363117. The next prime is 3493363213. The reversal of 3493363200 is 23633943.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3493363200² = 24407172894228480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1112032 + ... + 1115168.

It is an arithmetic number, because the mean of its divisors is an integer number (49757697).

Almost surely, 2^3493363200 is an apocalyptic number.

3493363200 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 3493363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970923640).

3493363200 is an abundant number, since it is smaller than the sum of its proper divisors (8448484080).

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

3493363200 is a wasteful number, since it uses less digits than its factorization.

3493363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 33.

The square root of 3493363200 is about 59104.6800177448. The cubic root of 3493363200 is about 1517.3342009138.

The spelling of 3493363200 in words is "three billion, four hundred ninety-three million, three hundred sixty-three thousand, two hundred".