3394485120 has 512 divisors, whose sum is σ = 12436623360. Its totient is φ = 781516800.

The previous prime is 3394485103. The next prime is 3394485121. The reversal of 3394485120 is 215844933.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394485121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31724107 + ... + 31724213.

It is an arithmetic number, because the mean of its divisors is an integer number (24290280).

Almost surely, 2^3394485120 is an apocalyptic number.

3394485120 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 3394485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218311680).

3394485120 is an abundant number, since it is smaller than the sum of its proper divisors (9042138240).

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

3394485120 is a wasteful number, since it uses less digits than its factorization.

3394485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3394485120 is about 58262.2100507696. The cubic root of 3394485120 is about 1502.8811468963.

The spelling of 3394485120 in words is "three billion, three hundred ninety-four million, four hundred eighty-five thousand, one hundred twenty".