1356438000 has 160 divisors (see below), whose sum is σ = 4392790272. Its totient is φ = 360096000.

The previous prime is 1356437989. The next prime is 1356438043. The reversal of 1356438000 is 8346531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985659 + ... + 1986341.

Almost surely, 2^1356438000 is an apocalyptic number.

1356438000 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 1356438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196395136).

1356438000 is an abundant number, since it is smaller than the sum of its proper divisors (3036352272).

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

1356438000 is a wasteful number, since it uses less digits than its factorization.

1356438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1356438000 is about 36829.8520225102. The cubic root of 1356438000 is about 1106.9635378774.

The spelling of 1356438000 in words is "one billion, three hundred fifty-six million, four hundred thirty-eight thousand".