1349009640 has 576 divisors, whose sum is σ = 5298209280. Its totient is φ = 307929600.

The previous prime is 1349009611. The next prime is 1349009659. The reversal of 1349009640 is 469009431.

1349009640 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 0 + 0 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1349009595 and 1349009604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36459702 + ... + 36459738.

It is an arithmetic number, because the mean of its divisors is an integer number (9198280).

Almost surely, 2^1349009640 is an apocalyptic number.

1349009640 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 1349009640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649104640).

1349009640 is an abundant number, since it is smaller than the sum of its proper divisors (3949199640).

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

1349009640 is a wasteful number, since it uses less digits than its factorization.

1349009640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1349009640 is about 36728.8665765771. The cubic root of 1349009640 is about 1104.9391229267.

The spelling of 1349009640 in words is "one billion, three hundred forty-nine million, nine thousand, six hundred forty".