3734339040 has 288 divisors, whose sum is σ = 13745440800. Its totient is φ = 920125440.

The previous prime is 3734339033. The next prime is 3734339083. The reversal of 3734339040 is 409334373.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3734338986 and 3734339004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120096 + ... + 1123424.

It is an arithmetic number, because the mean of its divisors is an integer number (47727225).

Almost surely, 2^3734339040 is an apocalyptic number.

3734339040 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 3734339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872720400).

3734339040 is an abundant number, since it is smaller than the sum of its proper divisors (10011101760).

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

3734339040 is a wasteful number, since it uses less digits than its factorization.

3734339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3734339040 is about 61109.2385814125. The cubic root of 3734339040 is about 1551.4504688173.

The spelling of 3734339040 in words is "three billion, seven hundred thirty-four million, three hundred thirty-nine thousand, forty".