3352934400 has 288 divisors, whose sum is σ = 11260529280. Its totient is φ = 879984640.

The previous prime is 3352934323. The next prime is 3352934401. The reversal of 3352934400 is 44392533.

It is a super-2 number, since 2×3352934400² = 22484338181406720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352934401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12748669 + ... + 12748931.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^3352934400 is an apocalyptic number.

3352934400 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 3352934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630264640).

3352934400 is an abundant number, since it is smaller than the sum of its proper divisors (7907594880).

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

3352934400 is a wasteful number, since it uses less digits than its factorization.

3352934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 3352934400 is about 57904.5283203309. The cubic root of 3352934400 is about 1496.7238720888.

The spelling of 3352934400 in words is "three billion, three hundred fifty-two million, nine hundred thirty-four thousand, four hundred".