3396399828480 has 800 divisors, whose sum is σ = 12734002828800. Its totient is φ = 863582404608.

The previous prime is 3396399828467. The next prime is 3396399828499. The reversal of 3396399828480 is 848289936933.

3396399828480 is a `hidden beast` number, since 3 + 3 + 9 + 6 + 39 + 98 + 28 + 480 = 666.

It is a super-2 number, since 2×3396399828480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3396399828399 and 3396399828408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1807556181 + ... + 1807558059.

It is an arithmetic number, because the mean of its divisors is an integer number (15917503536).

Almost surely, 2^{3396399828480} is an apocalyptic number.

3396399828480 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 3396399828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367001414400).

3396399828480 is an abundant number, since it is smaller than the sum of its proper divisors (9337603000320).

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

3396399828480 is a wasteful number, since it uses less digits than its factorization.

3396399828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 3396399828480 in words is "three trillion, three hundred ninety-six billion, three hundred ninety-nine million, eight hundred twenty-eight thousand, four hundred eighty".