3427113984 has 352 divisors, whose sum is σ = 11092709376. Its totient is φ = 920125440.

The previous prime is 3427113983. The next prime is 3427114001. The reversal of 3427113984 is 4893117243.

It is a super-2 number, since 2×3427113984² = 23490220518656704512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427113983) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35331024 + ... + 35331120.

Almost surely, 2^3427113984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546354688).

3427113984 is an abundant number, since it is smaller than the sum of its proper divisors (7665595392).

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

3427113984 is a wasteful number, since it uses less digits than its factorization.

3427113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 3427113984 is about 58541.5577517374. The cubic root of 3427113984 is about 1507.6811893028.

The spelling of 3427113984 in words is "three billion, four hundred twenty-seven million, one hundred thirteen thousand, nine hundred eighty-four".