1370798400 has 336 divisors, whose sum is σ = 4837029696. Its totient is φ = 338657280.

The previous prime is 1370798399. The next prime is 1370798431. The reversal of 1370798400 is 48970731.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 8731122 + ... + 8731278.

Almost surely, 2^1370798400 is an apocalyptic number.

1370798400 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 1370798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418514848).

1370798400 is an abundant number, since it is smaller than the sum of its proper divisors (3466231296).

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

1370798400 is a wasteful number, since it uses less digits than its factorization.

1370798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1370798400 is about 37024.2947265711. The cubic root of 1370798400 is about 1110.8562502866.

The spelling of 1370798400 in words is "one billion, three hundred seventy million, seven hundred ninety-eight thousand, four hundred".