3499459200 has 480 divisors, whose sum is σ = 13498198560. Its totient is φ = 891095040.

The previous prime is 3499459189. The next prime is 3499459207. The reversal of 3499459200 is 29549943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3499459207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5961307 + ... + 5961893.

It is an arithmetic number, because the mean of its divisors is an integer number (28121247).

Almost surely, 2^3499459200 is an apocalyptic number.

3499459200 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 3499459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749099280).

3499459200 is an abundant number, since it is smaller than the sum of its proper divisors (9998739360).

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

3499459200 is a wasteful number, since it uses less digits than its factorization.

3499459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3499459200 is about 59156.2270602174. The cubic root of 3499459200 is about 1518.2162825138.

It can be divided in two parts, 349 and 9459200, that added together give a palindrome (9459549).

The spelling of 3499459200 in words is "three billion, four hundred ninety-nine million, four hundred fifty-nine thousand, two hundred".