3733678872 has 576 divisors, whose sum is σ = 13828838400. Its totient is φ = 897684480.

The previous prime is 3733678829. The next prime is 3733678891. The reversal of 3733678872 is 2788763373.

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

Its product of digits (7112448) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41951404 + ... + 41951492.

It is an arithmetic number, because the mean of its divisors is an integer number (24008400).

Almost surely, 2^3733678872 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 3733678872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914419200).

3733678872 is an abundant number, since it is smaller than the sum of its proper divisors (10095159528).

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

3733678872 is a wasteful number, since it uses less digits than its factorization.

3733678872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 3733678872 is about 61103.8368026100. The cubic root of 3733678872 is about 1551.3590400260.

The spelling of 3733678872 in words is "three billion, seven hundred thirty-three million, six hundred seventy-eight thousand, eight hundred seventy-two".