3436242720 has 192 divisors, whose sum is σ = 11431082880. Its totient is φ = 865271808.

The previous prime is 3436242713. The next prime is 3436242721. The reversal of 3436242720 is 272426343.

It is not an unprimeable number, because it can be changed into a prime (3436242721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5261914 + ... + 5262566.

It is an arithmetic number, because the mean of its divisors is an integer number (59536890).

Almost surely, 2^3436242720 is an apocalyptic number.

3436242720 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 3436242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715541440).

3436242720 is an abundant number, since it is smaller than the sum of its proper divisors (7994840160).

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

3436242720 is a wasteful number, since it uses less digits than its factorization.

3436242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 3436242720 is about 58619.4738973321. The cubic root of 3436242720 is about 1509.0186626977.

The spelling of 3436242720 in words is "three billion, four hundred thirty-six million, two hundred forty-two thousand, seven hundred twenty".