3334813056000 has 1056 divisors, whose sum is σ = 12835736229888. Its totient is φ = 830553292800.

The previous prime is 3334813055969. The next prime is 3334813056007. The reversal of 3334813056000 is 6503184333.

3334813056000 is a `hidden beast` number, since 3 + 3 + 3 + 48 + 1 + 3 + 0 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×3334813056000² (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 not an unprimeable number, because it can be changed into a prime (3334813056007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1139326537 + ... + 1139329463.

It is an arithmetic number, because the mean of its divisors is an integer number (12155053248).

Almost surely, 2^{3334813056000} is an apocalyptic number.

3334813056000 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 3334813056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417868114944).

3334813056000 is an abundant number, since it is smaller than the sum of its proper divisors (9500923173888).

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

3334813056000 is a wasteful number, since it uses less digits than its factorization.

3334813056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3334813056000 in words is "three trillion, three hundred thirty-four billion, eight hundred thirteen million, fifty-six thousand".