3427902720 has 576 divisors, whose sum is σ = 13563002880. Its totient is φ = 812851200.

The previous prime is 3427902581. The next prime is 3427902761. The reversal of 3427902720 is 272097243.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26991297 + ... + 26991423.

It is an arithmetic number, because the mean of its divisors is an integer number (23546880).

Almost surely, 2^3427902720 is an apocalyptic number.

3427902720 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 3427902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781501440).

3427902720 is an abundant number, since it is smaller than the sum of its proper divisors (10135100160).

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

3427902720 is a wasteful number, since it uses less digits than its factorization.

3427902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3427902720 is about 58548.2939119493. The cubic root of 3427902720 is about 1507.7968426115.

Adding to 3427902720 its reverse (272097243), we get a palindrome (3699999963).

The spelling of 3427902720 in words is "three billion, four hundred twenty-seven million, nine hundred two thousand, seven hundred twenty".