3450014400 has 168 divisors, whose sum is σ = 12936037120. Its totient is φ = 788567040.

The previous prime is 3450014389. The next prime is 3450014401. The reversal of 3450014400 is 44100543.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3450014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17740 + ... + 84939.

Almost surely, 2^3450014400 is an apocalyptic number.

3450014400 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 3450014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468018560).

3450014400 is an abundant number, since it is smaller than the sum of its proper divisors (9486022720).

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

3450014400 is a wasteful number, since it uses less digits than its factorization.

3450014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102711 (or 102696 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3450014400 is about 58736.8232031662. The cubic root of 3450014400 is about 1511.0319101768.

Adding to 3450014400 its reverse (44100543), we get a palindrome (3494114943).

The spelling of 3450014400 in words is "three billion, four hundred fifty million, fourteen thousand, four hundred".