3343734400 has 192 divisors, whose sum is σ = 8766581760. Its totient is φ = 1257984000.

The previous prime is 3343734389. The next prime is 3343734439. The reversal of 3343734400 is 44373433.

It is a happy number.

It is a super-2 number, since 2×3343734400² = 22361119475486720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 3669945 + ... + 3670855.

It is an arithmetic number, because the mean of its divisors is an integer number (45659280).

Almost surely, 2^3343734400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383290880).

3343734400 is an abundant number, since it is smaller than the sum of its proper divisors (5422847360).

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

3343734400 is a wasteful number, since it uses less digits than its factorization.

3343734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 31.

The square root of 3343734400 is about 57825.0326415818. The cubic root of 3343734400 is about 1495.3536819384.

The spelling of 3343734400 in words is "three billion, three hundred forty-three million, seven hundred thirty-four thousand, four hundred".