3421854720 has 440 divisors, whose sum is σ = 12649870464. Its totient is φ = 883851264.

The previous prime is 3421854703. The next prime is 3421854763. The reversal of 3421854720 is 274581243.

It is a happy number.

3421854720 is a `hidden beast` number, since 3 + 4 + 2 + 185 + 472 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15344529 + ... + 15344751.

Almost surely, 2^3421854720 is an apocalyptic number.

3421854720 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 3421854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324935232).

3421854720 is an abundant number, since it is smaller than the sum of its proper divisors (9228015744).

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

3421854720 is a wasteful number, since it uses less digits than its factorization.

3421854720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

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

The square root of 3421854720 is about 58496.6214409003. The cubic root of 3421854720 is about 1506.9095630880.

The spelling of 3421854720 in words is "three billion, four hundred twenty-one million, eight hundred fifty-four thousand, seven hundred twenty".