3413545920 has 336 divisors, whose sum is σ = 12681264960. Its totient is φ = 840204288.

The previous prime is 3413545829. The next prime is 3413545921. The reversal of 3413545920 is 295453143.

3413545920 is a `hidden beast` number, since 3 + 4 + 13 + 54 + 592 + 0 = 666.

3413545920 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413545921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920072 + ... + 1921848.

It is an arithmetic number, because the mean of its divisors is an integer number (37741860).

Almost surely, 2^3413545920 is an apocalyptic number.

3413545920 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 3413545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340632480).

3413545920 is an abundant number, since it is smaller than the sum of its proper divisors (9267719040).

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

3413545920 is a wasteful number, since it uses less digits than its factorization.

3413545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3413545920 is about 58425.5587906526. The cubic root of 3413545920 is about 1505.6889036408.

The spelling of 3413545920 in words is "three billion, four hundred thirteen million, five hundred forty-five thousand, nine hundred twenty".