3413579136 has 256 divisors, whose sum is σ = 10340352000. Its totient is φ = 988416000.

The previous prime is 3413579131. The next prime is 3413579137. The reversal of 3413579136 is 6319753143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413579131) 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, 17153565 + ... + 17153763.

It is an arithmetic number, because the mean of its divisors is an integer number (40392000).

Almost surely, 2^3413579136 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 3413579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170176000).

3413579136 is an abundant number, since it is smaller than the sum of its proper divisors (6926772864).

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

3413579136 is a wasteful number, since it uses less digits than its factorization.

3413579136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 3413579136 is about 58425.8430491165. The cubic root of 3413579136 is about 1505.6937873992.

The spelling of 3413579136 in words is "three billion, four hundred thirteen million, five hundred seventy-nine thousand, one hundred thirty-six".