3484029600 has 216 divisors, whose sum is σ = 12425884380. Its totient is φ = 918466560.

The previous prime is 3484029599. The next prime is 3484029613. The reversal of 3484029600 is 69204843.

It is a happy number.

3484029600 is a `hidden beast` number, since 3 + 4 + 8 + 40 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 830131344 + 2653898256 = 28812^2 + 51516^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 638082 + ... + 643518.

Almost surely, 2^3484029600 is an apocalyptic number.

3484029600 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 3484029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212942190).

3484029600 is an abundant number, since it is smaller than the sum of its proper divisors (8941854780).

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

3484029600 is a wasteful number, since it uses less digits than its factorization.

3484029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3484029600 is about 59025.6689923969. The cubic root of 3484029600 is about 1515.9816531128.

The spelling of 3484029600 in words is "three billion, four hundred eighty-four million, twenty-nine thousand, six hundred".