1376704000 has 240 divisors, whose sum is σ = 4002467040. Its totient is φ = 470937600.

The previous prime is 1376703997. The next prime is 1376704001. The reversal of 1376704000 is 4076731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1376704000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376704001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135781 + ... + 3136219.

It is an arithmetic number, because the mean of its divisors is an integer number (16676946).

Almost surely, 2^1376704000 is an apocalyptic number.

1376704000 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 1376704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001233520).

1376704000 is an abundant number, since it is smaller than the sum of its proper divisors (2625763040).

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

1376704000 is an frugal number, since it uses more digits than its factorization.

1376704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 1376704000 is about 37103.9620525895. The cubic root of 1376704000 is about 1112.4492086394.

The spelling of 1376704000 in words is "one billion, three hundred seventy-six million, seven hundred four thousand".