1347937920 has 384 divisors, whose sum is σ = 5388439680. Its totient is φ = 304128000.

The previous prime is 1347937909. The next prime is 1347937937. The reversal of 1347937920 is 297397431.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4072155 + ... + 4072485.

It is an arithmetic number, because the mean of its divisors is an integer number (14032395).

Almost surely, 2^1347937920 is an apocalyptic number.

1347937920 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 1347937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694219840).

1347937920 is an abundant number, since it is smaller than the sum of its proper divisors (4040501760).

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

1347937920 is a wasteful number, since it uses less digits than its factorization.

1347937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1347937920 is about 36714.2740633667. The cubic root of 1347937920 is about 1104.6464393036.

The spelling of 1347937920 in words is "one billion, three hundred forty-seven million, nine hundred thirty-seven thousand, nine hundred twenty".