3345543936 has 432 divisors, whose sum is σ = 11938268160. Its totient is φ = 879943680.

The previous prime is 3345543923. The next prime is 3345543941. The reversal of 3345543936 is 6393455433.

3345543936 is a `hidden beast` number, since 3 + 3 + 4 + 554 + 3 + 93 + 6 = 666.

It is a super-2 number, since 2×3345543936² = 22385328455412744192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345543891 and 3345543900.

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, 10757221 + ... + 10757531.

It is an arithmetic number, because the mean of its divisors is an integer number (27634880).

Almost surely, 2^3345543936 is an apocalyptic number.

3345543936 is a gapful number since it is divisible by the number (36) 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 3345543936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969134080).

3345543936 is an abundant number, since it is smaller than the sum of its proper divisors (8592724224).

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

3345543936 is a wasteful number, since it uses less digits than its factorization.

3345543936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 45.

The square root of 3345543936 is about 57840.6771744592. The cubic root of 3345543936 is about 1495.6233812251.

The spelling of 3345543936 in words is "three billion, three hundred forty-five million, five hundred forty-three thousand, nine hundred thirty-six".