3484907712 has 336 divisors, whose sum is σ = 12177564672. Its totient is φ = 974177280.

The previous prime is 3484907711. The next prime is 3484907753. The reversal of 3484907712 is 2177094843.

3484907712 is a `hidden beast` number, since 3 + 484 + 90 + 77 + 12 = 666.

It is a super-2 number, since 2×3484907712² = 24289163522314149888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3484907711) 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, 2223153 + ... + 2224719.

It is an arithmetic number, because the mean of its divisors is an integer number (36242752).

Almost surely, 2^3484907712 is an apocalyptic number.

3484907712 is a gapful number since it is divisible by the number (32) 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 3484907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088782336).

3484907712 is an abundant number, since it is smaller than the sum of its proper divisors (8692656960).

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

3484907712 is a wasteful number, since it uses less digits than its factorization.

3484907712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3484907712 is about 59033.1069146797. The cubic root of 3484907712 is about 1516.1090046771.

The spelling of 3484907712 in words is "three billion, four hundred eighty-four million, nine hundred seven thousand, seven hundred twelve".