1348646400 has 360 divisors, whose sum is σ = 5046172560. Its totient is φ = 343326720.

The previous prime is 1348646393. The next prime is 1348646419. The reversal of 1348646400 is 46468431.

1348646400 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1348646400² = 3637694224465920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649346 + ... + 2649854.

It is an arithmetic number, because the mean of its divisors is an integer number (14017146).

Almost surely, 2^1348646400 is an apocalyptic number.

1348646400 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 1348646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523086280).

1348646400 is an abundant number, since it is smaller than the sum of its proper divisors (3697526160).

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

1348646400 is a wasteful number, since it uses less digits than its factorization.

1348646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1348646400 is about 36723.9213592448. The cubic root of 1348646400 is about 1104.8399405082.

The spelling of 1348646400 in words is "one billion, three hundred forty-eight million, six hundred forty-six thousand, four hundred".