3479743800 has 720 divisors, whose sum is σ = 13838489280. Its totient is φ = 808704000.

The previous prime is 3479743789. The next prime is 3479743877. The reversal of 3479743800 is 83479743.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 84871780 + ... + 84871820.

It is an arithmetic number, because the mean of its divisors is an integer number (19220124).

Almost surely, 2^3479743800 is an apocalyptic number.

3479743800 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 3479743800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919244640).

3479743800 is an abundant number, since it is smaller than the sum of its proper divisors (10358745480).

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

3479743800 is a wasteful number, since it uses less digits than its factorization.

3479743800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3479743800 is about 58989.3532766719. The cubic root of 3479743800 is about 1515.3597812324.

The spelling of 3479743800 in words is "three billion, four hundred seventy-nine million, seven hundred forty-three thousand, eight hundred".