3394188720 has 480 divisors, whose sum is σ = 13205529792. Its totient is φ = 773849088.

The previous prime is 3394188719. The next prime is 3394188761. The reversal of 3394188720 is 278814933.

3394188720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13206832 + ... + 13207088.

Almost surely, 2^3394188720 is an apocalyptic number.

3394188720 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 3394188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602764896).

3394188720 is an abundant number, since it is smaller than the sum of its proper divisors (9811341072).

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

3394188720 is a wasteful number, since it uses less digits than its factorization.

3394188720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3394188720 is about 58259.6663224224. Note that the first 3 decimals coincide. The cubic root of 3394188720 is about 1502.8374027130.

The spelling of 3394188720 in words is "three billion, three hundred ninety-four million, one hundred eighty-eight thousand, seven hundred twenty".