3406383960 has 192 divisors, whose sum is σ = 12083735520. Its totient is φ = 765757440.

The previous prime is 3406383949. The next prime is 3406383977. The reversal of 3406383960 is 693836043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353932 + ... + 363428.

Almost surely, 2^3406383960 is an apocalyptic number.

3406383960 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 3406383960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041867760).

3406383960 is an abundant number, since it is smaller than the sum of its proper divisors (8677351560).

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

3406383960 is a wasteful number, since it uses less digits than its factorization.

3406383960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3406383960 is about 58364.2352815489. The cubic root of 3406383960 is about 1504.6351378008.

The spelling of 3406383960 in words is "three billion, four hundred six million, three hundred eighty-three thousand, nine hundred sixty".