3399828233400 has 384 divisors, whose sum is σ = 11813440766400. Its totient is φ = 898685798400.

The previous prime is 3399828233369. The next prime is 3399828233489. The reversal of 3399828233400 is 43328289933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309830314 + ... + 309841286.

Almost surely, 2^{3399828233400} is an apocalyptic number.

3399828233400 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 3399828233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906720383200).

3399828233400 is an abundant number, since it is smaller than the sum of its proper divisors (8413612533000).

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

3399828233400 is a wasteful number, since it uses less digits than its factorization.

3399828233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11496 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3399828233400 in words is "three trillion, three hundred ninety-nine billion, eight hundred twenty-eight million, two hundred thirty-three thousand, four hundred".