3349638240 has 96 divisors (see below), whose sum is σ = 11363024736. Its totient is φ = 824524800.

The previous prime is 3349638239. The next prime is 3349638323. The reversal of 3349638240 is 428369433.

3349638240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3349638240² = 22440152677740595200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3349638192 and 3349638201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262161 + ... + 274640.

It is an arithmetic number, because the mean of its divisors is an integer number (118364841).

Almost surely, 2^3349638240 is an apocalyptic number.

3349638240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3349638240 is an abundant number, since it is smaller than the sum of its proper divisors (8013386496).

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

3349638240 is a wasteful number, since it uses less digits than its factorization.

3349638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536832 (or 536824 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 3349638240 is about 57876.0592991610. The cubic root of 3349638240 is about 1496.2332512089.

The spelling of 3349638240 in words is "three billion, three hundred forty-nine million, six hundred thirty-eight thousand, two hundred forty".