3394248000 has 896 divisors, whose sum is σ = 14059229184. Its totient is φ = 709632000.

The previous prime is 3394247981. The next prime is 3394248037. The reversal of 3394248000 is 8424933.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78935979 + ... + 78936021.

It is an arithmetic number, because the mean of its divisors is an integer number (15691104).

Almost surely, 2^3394248000 is an apocalyptic number.

3394248000 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 3394248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029614592).

3394248000 is an abundant number, since it is smaller than the sum of its proper divisors (10664981184).

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

3394248000 is a wasteful number, since it uses less digits than its factorization.

3394248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3394248000 is about 58260.1750769769. The cubic root of 3394248000 is about 1502.8461517534.

The spelling of 3394248000 in words is "three billion, three hundred ninety-four million, two hundred forty-eight thousand".