3734427200 has 504 divisors, whose sum is σ = 11848795200. Its totient is φ = 1149603840.

The previous prime is 3734427197. The next prime is 3734427211. The reversal of 3734427200 is 27244373.

3734427200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34260746 + ... + 34260854.

Almost surely, 2^3734427200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924397600).

3734427200 is an abundant number, since it is smaller than the sum of its proper divisors (8114368000).

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

3734427200 is a wasteful number, since it uses less digits than its factorization.

3734427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The square root of 3734427200 is about 61109.9599083488. The cubic root of 3734427200 is about 1551.4626775638.

The spelling of 3734427200 in words is "three billion, seven hundred thirty-four million, four hundred twenty-seven thousand, two hundred".