1346042880 has 704 divisors, whose sum is σ = 5942522880. Its totient is φ = 281346048.

The previous prime is 1346042861. The next prime is 1346042899. The reversal of 1346042880 is 882406431.

It is an interprime number because it is at equal distance from previous prime (1346042861) and next prime (1346042899).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12579787 + ... + 12579893.

Almost surely, 2^1346042880 is an apocalyptic number.

1346042880 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 1346042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971261440).

1346042880 is an abundant number, since it is smaller than the sum of its proper divisors (4596480000).

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

1346042880 is a wasteful number, since it uses less digits than its factorization.

1346042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1346042880 is about 36688.4570403281. The cubic root of 1346042880 is about 1104.1285294593.

The spelling of 1346042880 in words is "one billion, three hundred forty-six million, forty-two thousand, eight hundred eighty".