3415390100 has 72 divisors (see below), whose sum is σ = 7858481400. Its totient is φ = 1283973120.

The previous prime is 3415390051. The next prime is 3415390103. The reversal of 3415390100 is 10935143.

It can be written as a sum of positive squares in 12 ways, for example, as 36990724 + 3378399376 = 6082^2 + 58124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3415390100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415390103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204126 + ... + 2205674.

It is an arithmetic number, because the mean of its divisors is an integer number (109145575).

Almost surely, 2^3415390100 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 3415390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929240700).

3415390100 is an abundant number, since it is smaller than the sum of its proper divisors (4443091300).

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

3415390100 is a wasteful number, since it uses less digits than its factorization.

3415390100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 3415390100 is about 58441.3389648115. The cubic root of 3415390100 is about 1505.9600060395.

The spelling of 3415390100 in words is "three billion, four hundred fifteen million, three hundred ninety thousand, one hundred".