3332802834000 has 1120 divisors, whose sum is σ = 12503119749120. Its totient is φ = 858283776000.

The previous prime is 3332802833999. The next prime is 3332802834043. The reversal of 3332802834000 is 4382082333.

It is a happy number.

3332802834000 is a `hidden beast` number, since 3 + 33 + 280 + 2 + 8 + 340 + 0 + 0 = 666.

It is a super-2 number, since 2×3332802834000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7591805781 + ... + 7591806219.

It is an arithmetic number, because the mean of its divisors is an integer number (11163499776).

Almost surely, 2^{3332802834000} is an apocalyptic number.

3332802834000 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 3332802834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251559874560).

3332802834000 is an abundant number, since it is smaller than the sum of its proper divisors (9170316915120).

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

3332802834000 is a wasteful number, since it uses less digits than its factorization.

3332802834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3332802834000 in words is "three trillion, three hundred thirty-two billion, eight hundred two million, eight hundred thirty-four thousand".