3354933790320 has 320 divisors, whose sum is σ = 12444073528320. Its totient is φ = 731477827584.

The previous prime is 3354933790301. The next prime is 3354933790339. The reversal of 3354933790320 is 230973394533.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3354933790301) and next prime (3354933790339).

It is a super-2 number, since 2×3354933790320² (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 63 ways as a sum of consecutive naturals, for example, 3628932 + ... + 4458588.

It is an arithmetic number, because the mean of its divisors is an integer number (38887729776).

Almost surely, 2^{3354933790320} is an apocalyptic number.

3354933790320 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 3354933790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222036764160).

3354933790320 is an abundant number, since it is smaller than the sum of its proper divisors (9089139738000).

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

3354933790320 is a wasteful number, since it uses less digits than its factorization.

3354933790320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829792 (or 829786 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 51.

The spelling of 3354933790320 in words is "three trillion, three hundred fifty-four billion, nine hundred thirty-three million, seven hundred ninety thousand, three hundred twenty".