3734668800 has 360 divisors, whose sum is σ = 14158966536. Its totient is φ = 936837120.

The previous prime is 3734668793. The next prime is 3734668849. The reversal of 3734668800 is 88664373.

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1957447 + ... + 1959353.

Almost surely, 2^3734668800 is an apocalyptic number.

3734668800 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 3734668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079483268).

3734668800 is an abundant number, since it is smaller than the sum of its proper divisors (10424297736).

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

3734668800 is a wasteful number, since it uses less digits than its factorization.

3734668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3734668800 is about 61111.9366408887. The cubic root of 3734668800 is about 1551.4961343057.

The spelling of 3734668800 in words is "three billion, seven hundred thirty-four million, six hundred sixty-eight thousand, eight hundred".