3428154720 has 288 divisors, whose sum is σ = 12492960480. Its totient is φ = 853032960.

The previous prime is 3428154713. The next prime is 3428154721. The reversal of 3428154720 is 274518243.

It is a happy number.

3428154720 is a `hidden beast` number, since 34 + 2 + 81 + 547 + 2 + 0 = 666.

3428154720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428154721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3206346 + ... + 3207414.

It is an arithmetic number, because the mean of its divisors is an integer number (43378335).

Almost surely, 2^3428154720 is an apocalyptic number.

3428154720 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 3428154720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246480240).

3428154720 is an abundant number, since it is smaller than the sum of its proper divisors (9064805760).

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

3428154720 is a wasteful number, since it uses less digits than its factorization.

3428154720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3428154720 is about 58550.4459419397. The cubic root of 3428154720 is about 1507.8337899352.

The spelling of 3428154720 in words is "three billion, four hundred twenty-eight million, one hundred fifty-four thousand, seven hundred twenty".