3427756416 has 192 divisors, whose sum is σ = 11364986880. Its totient is φ = 971357184.

The previous prime is 3427756411. The next prime is 3427756429. The reversal of 3427756416 is 6146577243.

3427756416 is a `hidden beast` number, since 3 + 4 + 2 + 77 + 564 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427756411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022455 + ... + 1025801.

It is an arithmetic number, because the mean of its divisors is an integer number (59192640).

Almost surely, 2^3427756416 is an apocalyptic number.

3427756416 is a gapful number since it is divisible by the number (36) 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 3427756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682493440).

3427756416 is an abundant number, since it is smaller than the sum of its proper divisors (7937230464).

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

3427756416 is a wasteful number, since it uses less digits than its factorization.

3427756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3486 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 3427756416 is about 58547.0444685298. The cubic root of 3427756416 is about 1507.7753912202.

The spelling of 3427756416 in words is "three billion, four hundred twenty-seven million, seven hundred fifty-six thousand, four hundred sixteen".