3734127000 has 512 divisors, whose sum is σ = 14152320000. Its totient is φ = 907200000.

The previous prime is 3734126999. The next prime is 3734127037. The reversal of 3734127000 is 7214373.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14876875 + ... + 14877125.

It is an arithmetic number, because the mean of its divisors is an integer number (27641250).

Almost surely, 2^3734127000 is an apocalyptic number.

3734127000 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 3734127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160000).

3734127000 is an abundant number, since it is smaller than the sum of its proper divisors (10418193000).

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

3734127000 is a wasteful number, since it uses less digits than its factorization.

3734127000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3734127000 is about 61107.5036308963. The cubic root of 3734127000 is about 1551.4211038899.

The spelling of 3734127000 in words is "three billion, seven hundred thirty-four million, one hundred twenty-seven thousand".