1349679240 has 512 divisors, whose sum is σ = 5728665600. Its totient is φ = 274959360.

The previous prime is 1349679217. The next prime is 1349679251. The reversal of 1349679240 is 429769431.

It is a happy number.

1349679240 is a `hidden beast` number, since 1 + 349 + 67 + 9 + 240 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3046459 + ... + 3046901.

It is an arithmetic number, because the mean of its divisors is an integer number (11188800).

Almost surely, 2^1349679240 is an apocalyptic number.

1349679240 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 1349679240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864332800).

1349679240 is an abundant number, since it is smaller than the sum of its proper divisors (4378986360).

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

1349679240 is a wasteful number, since it uses less digits than its factorization.

1349679240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1349679240 is about 36737.9808917148. The cubic root of 1349679240 is about 1105.1219100702.

The spelling of 1349679240 in words is "one billion, three hundred forty-nine million, six hundred seventy-nine thousand, two hundred forty".