1349942880 has 384 divisors, whose sum is σ = 5084384256. Its totient is φ = 296755200.

The previous prime is 1349942843. The next prime is 1349942897. The reversal of 1349942880 is 882499431.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4873302 + ... + 4873578.

It is an arithmetic number, because the mean of its divisors is an integer number (13240584).

Almost surely, 2^1349942880 is an apocalyptic number.

1349942880 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 1349942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542192128).

1349942880 is an abundant number, since it is smaller than the sum of its proper divisors (3734441376).

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

1349942880 is a wasteful number, since it uses less digits than its factorization.

1349942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1349942880 is about 36741.5688287803. The cubic root of 1349942880 is about 1105.1938618257.

The spelling of 1349942880 in words is "one billion, three hundred forty-nine million, nine hundred forty-two thousand, eight hundred eighty".