1344977920 has 264 divisors, whose sum is σ = 3842006112. Its totient is φ = 448757760.

The previous prime is 1344977891. The next prime is 1344977927. The reversal of 1344977920 is 297794431.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344977927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8053677 + ... + 8053843.

Almost surely, 2^1344977920 is an apocalyptic number.

1344977920 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 1344977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921003056).

1344977920 is an abundant number, since it is smaller than the sum of its proper divisors (2497028192).

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

1344977920 is a wasteful number, since it uses less digits than its factorization.

1344977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 1344977920 is about 36673.9406118295. The cubic root of 1344977920 is about 1103.8372650982.

The spelling of 1344977920 in words is "one billion, three hundred forty-four million, nine hundred seventy-seven thousand, nine hundred twenty".