1336998000 has 320 divisors, whose sum is σ = 4734946944. Its totient is φ = 322560000.

The previous prime is 1336997999. The next prime is 1336998001. The reversal of 1336998000 is 8996331.

It is an interprime number because it is at equal distance from previous prime (1336997999) and next prime (1336998001).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1336998000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336998001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4757860 + ... + 4758140.

Almost surely, 2^1336998000 is an apocalyptic number.

1336998000 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 1336998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367473472).

1336998000 is an abundant number, since it is smaller than the sum of its proper divisors (3397948944).

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

1336998000 is a wasteful number, since it uses less digits than its factorization.

1336998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1336998000 is about 36564.9832490048. The cubic root of 1336998000 is about 1101.6498657633.

The spelling of 1336998000 in words is "one billion, three hundred thirty-six million, nine hundred ninety-eight thousand".