3351364400 has 120 divisors (see below), whose sum is σ = 8615557200. Its totient is φ = 1248998400.

The previous prime is 3351364397. The next prime is 3351364427. The reversal of 3351364400 is 44631533.

It is a super-2 number, since 2×3351364400² = 22463286683174720000, which contains 22 as substring.

It is a zygodrome in base 2.

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, 459986 + ... + 467214.

It is an arithmetic number, because the mean of its divisors is an integer number (71796310).

Almost surely, 2^3351364400 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 3351364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307778600).

3351364400 is an abundant number, since it is smaller than the sum of its proper divisors (5264192800).

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

3351364400 is a wasteful number, since it uses less digits than its factorization.

3351364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 3351364400 is about 57890.9699348698. The cubic root of 3351364400 is about 1496.4902236817.

Adding to 3351364400 its reverse (44631533), we get a palindrome (3395995933).

The spelling of 3351364400 in words is "three billion, three hundred fifty-one million, three hundred sixty-four thousand, four hundred".