1348358400 has 567 divisors, whose sum is σ = 5315463391. Its totient is φ = 338411520.

The previous prime is 1348358387. The next prime is 1348358437. The reversal of 1348358400 is 48538431.

The square root of 1348358400 is 36720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 1316818944 = 5616^2 + 36288^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 79315192 + ... + 79315208.

Almost surely, 2^1348358400 is an apocalyptic number.

1348358400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1348358400 is the 36720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348358400

1348358400 is an abundant number, since it is smaller than the sum of its proper divisors (3967104991).

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

1348358400 is an frugal number, since it uses more digits than its factorization.

1348358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 1348358400 is about 1104.7612896586.

Multiplying 1348358400 by its sum of digits (36), we get a square (48540902400 = 220320²).

1348358400 divided by its sum of digits (36) gives a square (37454400 = 6120²).

The spelling of 1348358400 in words is "one billion, three hundred forty-eight million, three hundred fifty-eight thousand, four hundred".