1348838400 has 528 divisors, whose sum is σ = 5515174784. Its totient is φ = 283115520.

The previous prime is 1348838363. The next prime is 1348838423. The reversal of 1348838400 is 48388431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6988704 + ... + 6988896.

Almost surely, 2^1348838400 is an apocalyptic number.

1348838400 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 1348838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757587392).

1348838400 is an abundant number, since it is smaller than the sum of its proper divisors (4166336384).

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

1348838400 is a wasteful number, since it uses less digits than its factorization.

1348838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1348838400 is about 36726.5353661355. The cubic root of 1348838400 is about 1104.8923681875.

The spelling of 1348838400 in words is "one billion, three hundred forty-eight million, eight hundred thirty-eight thousand, four hundred".