3402106000 has 80 divisors (see below), whose sum is σ = 8510102640. Its totient is φ = 1313894400.

The previous prime is 3402105997. The next prime is 3402106003. The reversal of 3402106000 is 6012043.

It is an interprime number because it is at equal distance from previous prime (3402105997) and next prime (3402106003).

It can be written as a sum of positive squares in 8 ways, for example, as 296941824 + 3105164176 = 17232^2 + 55724^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3402106003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28672 + ... + 87328.

It is an arithmetic number, because the mean of its divisors is an integer number (106376283).

Almost surely, 2^3402106000 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 3402106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255051320).

3402106000 is an abundant number, since it is smaller than the sum of its proper divisors (5107996640).

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

3402106000 is a wasteful number, since it uses less digits than its factorization.

3402106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58709 (or 58693 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3402106000 is about 58327.5749538758. The cubic root of 3402106000 is about 1504.0050008322.

Adding to 3402106000 its reverse (6012043), we get a palindrome (3408118043).

The spelling of 3402106000 in words is "three billion, four hundred two million, one hundred six thousand".