1349636400 has 360 divisors, whose sum is σ = 5466936800. Its totient is φ = 308206080.

The previous prime is 1349636381. The next prime is 1349636419. The reversal of 1349636400 is 46369431.

1349636400 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 6 + 3 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1349636381) and next prime (1349636419).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234254 + ... + 1235346.

Almost surely, 2^1349636400 is an apocalyptic number.

1349636400 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 1349636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733468400).

1349636400 is an abundant number, since it is smaller than the sum of its proper divisors (4117300400).

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

1349636400 is a wasteful number, since it uses less digits than its factorization.

1349636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1349636400 is about 36737.3978392591. The cubic root of 1349636400 is about 1105.1102174344.

The spelling of 1349636400 in words is "one billion, three hundred forty-nine million, six hundred thirty-six thousand, four hundred".