3345948000 has 480 divisors, whose sum is σ = 12843230400. Its totient is φ = 851558400.

The previous prime is 3345947989. The next prime is 3345948029. The reversal of 3345948000 is 8495433.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3345948000² = 22390736037408000000, which 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7451776 + ... + 7452224.

It is an arithmetic number, because the mean of its divisors is an integer number (26756730).

Almost surely, 2^3345948000 is an apocalyptic number.

3345948000 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 3345948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421615200).

3345948000 is an abundant number, since it is smaller than the sum of its proper divisors (9497282400).

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

3345948000 is a wasteful number, since it uses less digits than its factorization.

3345948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3345948000 is about 57844.1699741642. The cubic root of 3345948000 is about 1495.6835909897.

The spelling of 3345948000 in words is "three billion, three hundred forty-five million, nine hundred forty-eight thousand".