3351410400 has 288 divisors, whose sum is σ = 11837992320. Its totient is φ = 818657280.

The previous prime is 3351410393. The next prime is 3351410401. The reversal of 3351410400 is 40141533.

3351410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3351410400² = 22463903338456320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3351410401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5085271 + ... + 5085929.

It is an arithmetic number, because the mean of its divisors is an integer number (41104140).

Almost surely, 2^3351410400 is an apocalyptic number.

3351410400 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 3351410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918996160).

3351410400 is an abundant number, since it is smaller than the sum of its proper divisors (8486581920).

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

3351410400 is a wasteful number, since it uses less digits than its factorization.

3351410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3351410400 is about 57891.3672320839. The cubic root of 3351410400 is about 1496.4970704687.

Adding to 3351410400 its reverse (40141533), we get a palindrome (3391551933).

The spelling of 3351410400 in words is "three billion, three hundred fifty-one million, four hundred ten thousand, four hundred".