1349002200 has 384 divisors, whose sum is σ = 5319659520. Its totient is φ = 275097600.

The previous prime is 1349002189. The next prime is 1349002211. The reversal of 1349002200 is 22009431.

It is an interprime number because it is at equal distance from previous prime (1349002189) and next prime (1349002211).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1692202 + ... + 1692998.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2^1349002200 is an apocalyptic number.

1349002200 is a gapful number since it is divisible by the number (10) 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 1349002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659829760).

1349002200 is an abundant number, since it is smaller than the sum of its proper divisors (3970657320).

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

1349002200 is a wasteful number, since it uses less digits than its factorization.

1349002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1349002200 is about 36728.7652937041. The cubic root of 1349002200 is about 1104.9370916187.

The spelling of 1349002200 in words is "one billion, three hundred forty-nine million, two thousand, two hundred".