3348345000 has 640 divisors, whose sum is σ = 14107484160. Its totient is φ = 639360000.

The previous prime is 3348344983. The next prime is 3348345047. The reversal of 3348345000 is 5438433.

It is a super-2 number, since 2×3348345000² = 22422828478050000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15014889 + ... + 15015111.

It is an arithmetic number, because the mean of its divisors is an integer number (22042944).

Almost surely, 2^3348345000 is an apocalyptic number.

3348345000 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 3348345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053742080).

3348345000 is an abundant number, since it is smaller than the sum of its proper divisors (10759139160).

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

3348345000 is a wasteful number, since it uses less digits than its factorization.

3348345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3348345000 is about 57864.8857252825. The cubic root of 3348345000 is about 1496.0406694407.

The spelling of 3348345000 in words is "three billion, three hundred forty-eight million, three hundred forty-five thousand".