3435980016 has 160 divisors (see below), whose sum is σ = 10451077120. Its totient is φ = 952342272.

The previous prime is 3435979997. The next prime is 3435980017. The reversal of 3435980016 is 6100895343.

3435980016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435980017) 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, 2354295 + ... + 2355753.

It is an arithmetic number, because the mean of its divisors is an integer number (65319232).

Almost surely, 2^3435980016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3435980016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225538560).

3435980016 is an abundant number, since it is smaller than the sum of its proper divisors (7015097104).

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

3435980016 is a wasteful number, since it uses less digits than its factorization.

3435980016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3435980016 is about 58617.2330974433. The cubic root of 3435980016 is about 1508.9802064172.

The spelling of 3435980016 in words is "three billion, four hundred thirty-five million, nine hundred eighty thousand, sixteen".