3727416672 has 288 divisors, whose sum is σ = 12520872000. Its totient is φ = 1051287552.

The previous prime is 3727416643. The next prime is 3727416683. The reversal of 3727416672 is 2766147273.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9581854 + ... + 9582242.

It is an arithmetic number, because the mean of its divisors is an integer number (43475250).

Almost surely, 2^3727416672 is an apocalyptic number.

3727416672 is a gapful number since it is divisible by the number (32) 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 3727416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260436000).

3727416672 is an abundant number, since it is smaller than the sum of its proper divisors (8793455328).

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

3727416672 is a wasteful number, since it uses less digits than its factorization.

3727416672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 3727416672 is about 61052.5730170318. The cubic root of 3727416672 is about 1550.4912313282.

The spelling of 3727416672 in words is "three billion, seven hundred twenty-seven million, four hundred sixteen thousand, six hundred seventy-two".