3498409200 has 960 divisors, whose sum is σ = 14724057600. Its totient is φ = 696729600.

The previous prime is 3498409193. The next prime is 3498409207. The reversal of 3498409200 is 29048943.

It is an interprime number because it is at equal distance from previous prime (3498409193) and next prime (3498409207).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3498409207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94551582 + ... + 94551618.

It is an arithmetic number, because the mean of its divisors is an integer number (15337560).

Almost surely, 2^3498409200 is an apocalyptic number.

3498409200 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 3498409200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362028800).

3498409200 is an abundant number, since it is smaller than the sum of its proper divisors (11225648400).

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

3498409200 is a wasteful number, since it uses less digits than its factorization.

3498409200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3498409200 is about 59147.3515890610. The cubic root of 3498409200 is about 1518.0644222340.

The spelling of 3498409200 in words is "three billion, four hundred ninety-eight million, four hundred nine thousand, two hundred".