1349078640 has 320 divisors, whose sum is σ = 5189001216. Its totient is φ = 282341376.

The previous prime is 1349078611. The next prime is 1349078659. The reversal of 1349078640 is 468709431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1349078592 and 1349078601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4870182 + ... + 4870458.

Almost surely, 2^1349078640 is an apocalyptic number.

1349078640 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 1349078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594500608).

1349078640 is an abundant number, since it is smaller than the sum of its proper divisors (3839922576).

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

1349078640 is a wasteful number, since it uses less digits than its factorization.

1349078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1349078640 is about 36729.8058802385. The cubic root of 1349078640 is about 1104.9579613144.

The spelling of 1349078640 in words is "one billion, three hundred forty-nine million, seventy-eight thousand, six hundred forty".