3520800738 has 384 divisors, whose sum is σ = 10567065600. Its totient is φ = 821270016.

The previous prime is 3520800737. The next prime is 3520800761. The reversal of 3520800738 is 8370080253.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3520800733) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42419245 + ... + 42419327.

It is an arithmetic number, because the mean of its divisors is an integer number (27518400).

Almost surely, 2^3520800738 is an apocalyptic number.

3520800738 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520800738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283532800).

3520800738 is an abundant number, since it is smaller than the sum of its proper divisors (7046264862).

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

3520800738 is a wasteful number, since it uses less digits than its factorization.

3520800738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3520800738 is about 59336.3357311521. The cubic root of 3520800738 is about 1521.2963228526.

The spelling of 3520800738 in words is "three billion, five hundred twenty million, eight hundred thousand, seven hundred thirty-eight".