336435643140 has 96 divisors (see below), whose sum is σ = 968965562880. Its totient is φ = 87157357056.

The previous prime is 336435643127. The next prime is 336435643153. The reversal of 336435643140 is 41346534633.

It is an interprime number because it is at equal distance from previous prime (336435643127) and next prime (336435643153).

It is a super-2 number, since 2×336435643140² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336435643092 and 336435643101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333621 + ... + 1565699.

It is an arithmetic number, because the mean of its divisors is an integer number (10093391280).

Almost surely, 2^336435643140 is an apocalyptic number.

336435643140 is a gapful number since it is divisible by the number (30) 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 336435643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484482781440).

336435643140 is an abundant number, since it is smaller than the sum of its proper divisors (632529919740).

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

336435643140 is a wasteful number, since it uses less digits than its factorization.

336435643140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232781 (or 232779 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 336435643140 in words is "three hundred thirty-six billion, four hundred thirty-five million, six hundred forty-three thousand, one hundred forty".