3785187672 has 288 divisors, whose sum is σ = 12548390400. Its totient is φ = 1065669696.

The previous prime is 3785187667. The next prime is 3785187697. The reversal of 3785187672 is 2767815873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7524973 + ... + 7525475.

It is an arithmetic number, because the mean of its divisors is an integer number (43570800).

Almost surely, 2^3785187672 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 3785187672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

3785187672 is an abundant number, since it is smaller than the sum of its proper divisors (8763202728).

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

3785187672 is a wasteful number, since it uses less digits than its factorization.

3785187672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 594 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 3785187672 is about 61523.8788764168. The cubic root of 3785187672 is about 1558.4605226953.

The spelling of 3785187672 in words is "three billion, seven hundred eighty-five million, one hundred eighty-seven thousand, six hundred seventy-two".