3344739840 has 360 divisors, whose sum is σ = 12557979720. Its totient is φ = 822362112.

The previous prime is 3344739799. The next prime is 3344739869. The reversal of 3344739840 is 489374433.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3344739840² = 22374569194566451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893331 + ... + 3894189.

It is an arithmetic number, because the mean of its divisors is an integer number (34883277).

Almost surely, 2^3344739840 is an apocalyptic number.

3344739840 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 3344739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278989860).

3344739840 is an abundant number, since it is smaller than the sum of its proper divisors (9213239880).

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

3344739840 is a wasteful number, since it uses less digits than its factorization.

3344739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3344739840 is about 57833.7258007817. The cubic root of 3344739840 is about 1495.5035480815.

The spelling of 3344739840 in words is "three billion, three hundred forty-four million, seven hundred thirty-nine thousand, eight hundred forty".