3334435920828 has 288 divisors, whose sum is σ = 9234998922240. Its totient is φ = 1010891819520.

The previous prime is 3334435920793. The next prime is 3334435920863. The reversal of 3334435920828 is 8280295344333.

It is a happy number.

3334435920828 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 43 + 592 + 0 + 8 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3334435920793) and next prime (3334435920863).

It is a super-2 number, since 2×3334435920828² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778525975 + ... + 778530257.

It is an arithmetic number, because the mean of its divisors is an integer number (32065968480).

Almost surely, 2^{3334435920828} is an apocalyptic number.

3334435920828 is a gapful number since it is divisible by the number (38) 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 3334435920828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617499461120).

3334435920828 is an abundant number, since it is smaller than the sum of its proper divisors (5900563001412).

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

3334435920828 is a wasteful number, since it uses less digits than its factorization.

3334435920828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3334435920828 in words is "three trillion, three hundred thirty-four billion, four hundred thirty-five million, nine hundred twenty thousand, eight hundred twenty-eight".