1349875800 has 768 divisors, whose sum is σ = 5949619200. Its totient is φ = 273715200.

The previous prime is 1349875783. The next prime is 1349875817. The reversal of 1349875800 is 85789431.

1349875800 is a `hidden beast` number, since 13 + 498 + 75 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1349875783) and next prime (1349875817).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20147367 + ... + 20147433.

It is an arithmetic number, because the mean of its divisors is an integer number (7746900).

Almost surely, 2^1349875800 is an apocalyptic number.

1349875800 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 1349875800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974809600).

1349875800 is an abundant number, since it is smaller than the sum of its proper divisors (4599743400).

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

1349875800 is a wasteful number, since it uses less digits than its factorization.

1349875800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1349875800 is about 36740.6559549500. The cubic root of 1349875800 is about 1105.1755554629.

It can be divided in two parts, 13498 and 75800, that added together give a palindrome (89298).

The spelling of 1349875800 in words is "one billion, three hundred forty-nine million, eight hundred seventy-five thousand, eight hundred".