3400020820 has 72 divisors (see below), whose sum is σ = 8330401800. Its totient is φ = 1162264320.

The previous prime is 3400020773. The next prime is 3400020823. The reversal of 3400020820 is 280200043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11383876 + 3388636944 = 3374^2 + 58212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400020823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337050 + ... + 346990.

It is an arithmetic number, because the mean of its divisors is an integer number (115700025).

Almost surely, 2^3400020820 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 3400020820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165200900).

3400020820 is an abundant number, since it is smaller than the sum of its proper divisors (4930380980).

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

3400020820 is a wasteful number, since it uses less digits than its factorization.

3400020820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3400020820 is about 58309.6974782068. The cubic root of 3400020820 is about 1503.6976655047.

Adding to 3400020820 its reverse (280200043), we get a palindrome (3680220863).

The spelling of 3400020820 in words is "three billion, four hundred million, twenty thousand, eight hundred twenty".