3734549125920 has 288 divisors, whose sum is σ = 13218194349360. Its totient is φ = 959369011200.

The previous prime is 3734549125861. The next prime is 3734549125981. The reversal of 3734549125920 is 295219454373.

It is a happy number.

3734549125920 is a `hidden beast` number, since 3 + 7 + 3 + 4 + 5 + 49 + 1 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3727015580304 + 7533545616 = 1930548^2 + 86796^2 .

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

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, 5034286 + ... + 5728274.

Almost surely, 2^{3734549125920} is an apocalyptic number.

3734549125920 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 3734549125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609097174680).

3734549125920 is an abundant number, since it is smaller than the sum of its proper divisors (9483645223440).

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

3734549125920 is a wasteful number, since it uses less digits than its factorization.

3734549125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694148 (or 694137 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3734549125920 in words is "three trillion, seven hundred thirty-four billion, five hundred forty-nine million, one hundred twenty-five thousand, nine hundred twenty".