1349676720 has 240 divisors, whose sum is σ = 5204077632. Its totient is φ = 307077120.

The previous prime is 1349676703. The next prime is 1349676751. The reversal of 1349676720 is 276769431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415764 + ... + 1416716.

Almost surely, 2^1349676720 is an apocalyptic number.

1349676720 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 1349676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602038816).

1349676720 is an abundant number, since it is smaller than the sum of its proper divisors (3854400912).

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

1349676720 is a wasteful number, since it uses less digits than its factorization.

1349676720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1349676720 is about 36737.9465947677. The cubic root of 1349676720 is about 1105.1212222750.

The spelling of 1349676720 in words is "one billion, three hundred forty-nine million, six hundred seventy-six thousand, seven hundred twenty".