3349575936 has 288 divisors, whose sum is σ = 11443783680. Its totient is φ = 946612224.

The previous prime is 3349575917. The next prime is 3349575953. The reversal of 3349575936 is 6395759433.

3349575936 is a `hidden beast` number, since 3 + 3 + 49 + 5 + 7 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3349575936² = 22439317902060552192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5176765 + ... + 5177411.

It is an arithmetic number, because the mean of its divisors is an integer number (39735360).

Almost surely, 2^3349575936 is an apocalyptic number.

3349575936 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 3349575936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721891840).

3349575936 is an abundant number, since it is smaller than the sum of its proper divisors (8094207744).

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

3349575936 is a wasteful number, since it uses less digits than its factorization.

3349575936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its digits is 9185400, while the sum is 54.

The square root of 3349575936 is about 57875.5210430109. The cubic root of 3349575936 is about 1496.2239743967.

The spelling of 3349575936 in words is "three billion, three hundred forty-nine million, five hundred seventy-five thousand, nine hundred thirty-six".