3413329920 has 1152 divisors, whose sum is σ = 16312907520. Its totient is φ = 637009920.

The previous prime is 3413329897. The next prime is 3413329943. The reversal of 3413329920 is 299233143.

3413329920 is a `hidden beast` number, since 341 + 3 + 3 + 299 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3413329897) and next prime (3413329943).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3413329920² = 23301642285534412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92252142 + ... + 92252178.

It is an arithmetic number, because the mean of its divisors is an integer number (14160510).

Almost surely, 2^3413329920 is an apocalyptic number.

3413329920 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 3413329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156453760).

3413329920 is an abundant number, since it is smaller than the sum of its proper divisors (12899577600).

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

3413329920 is a wasteful number, since it uses less digits than its factorization.

3413329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3413329920 is about 58423.7102553407. The cubic root of 3413329920 is about 1505.6571443236.

It can be divided in two parts, 3413 and 329920, that added together give a palindrome (333333).

The spelling of 3413329920 in words is "three billion, four hundred thirteen million, three hundred twenty-nine thousand, nine hundred twenty".