3435914820 has 96 divisors (see below), whose sum is σ = 10375481088. Its totient is φ = 844549632.

The previous prime is 3435914813. The next prime is 3435914821. The reversal of 3435914820 is 284195343.

3435914820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3435914821) 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, 618897 + ... + 624423.

It is an arithmetic number, because the mean of its divisors is an integer number (108077928).

Almost surely, 2^3435914820 is an apocalyptic number.

3435914820 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 3435914820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187740544).

3435914820 is an abundant number, since it is smaller than the sum of its proper divisors (6939566268).

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

3435914820 is a wasteful number, since it uses less digits than its factorization.

3435914820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3435914820 is about 58616.6769784845. The cubic root of 3435914820 is about 1508.9706623090.

The spelling of 3435914820 in words is "three billion, four hundred thirty-five million, nine hundred fourteen thousand, eight hundred twenty".