1342353600 has 672 divisors, whose sum is σ = 5865815040. Its totient is φ = 291962880.

The previous prime is 1342353583. The next prime is 1342353613. The reversal of 1342353600 is 63532431.

It is a happy number.

1342353600 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955104 + ... + 6955296.

Almost surely, 2^1342353600 is an apocalyptic number.

1342353600 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 1342353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932907520).

1342353600 is an abundant number, since it is smaller than the sum of its proper divisors (4523461440).

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

1342353600 is a wasteful number, since it uses less digits than its factorization.

1342353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1342353600 is about 36638.1440577986. The cubic root of 1342353600 is about 1103.1188621401.

The spelling of 1342353600 in words is "one billion, three hundred forty-two million, three hundred fifty-three thousand, six hundred".