3345396000 has 576 divisors, whose sum is σ = 12521972736. Its totient is φ = 777216000.

The previous prime is 3345395957. The next prime is 3345396049. The reversal of 3345396000 is 6935433.

It is a super-2 number, since 2×3345396000² = 22383348793632000000, which contains 22 as substring.

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, 107915985 + ... + 107916015.

It is an arithmetic number, because the mean of its divisors is an integer number (21739536).

Almost surely, 2^3345396000 is an apocalyptic number.

3345396000 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 3345396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260986368).

3345396000 is an abundant number, since it is smaller than the sum of its proper divisors (9176576736).

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

3345396000 is a wasteful number, since it uses less digits than its factorization.

3345396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 3345396000 is about 57839.3983371197. The cubic root of 3345396000 is about 1495.6013360006.

The spelling of 3345396000 in words is "three billion, three hundred forty-five million, three hundred ninety-six thousand".