3722588928 has 288 divisors, whose sum is σ = 11430865600. Its totient is φ = 1209323520.

The previous prime is 3722588921. The next prime is 3722588951. The reversal of 3722588928 is 8298852273.

It is a happy number.

3722588928 is a `hidden beast` number, since 37 + 2 + 2 + 588 + 9 + 28 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722588921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34152138 + ... + 34152246.

Almost surely, 2^3722588928 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 3722588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715432800).

3722588928 is an abundant number, since it is smaller than the sum of its proper divisors (7708276672).

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

3722588928 is an frugal number, since it uses more digits than its factorization.

3722588928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 3722588928 is about 61013.0226099314. The cubic root of 3722588928 is about 1549.8215442136.

The spelling of 3722588928 in words is "three billion, seven hundred twenty-two million, five hundred eighty-eight thousand, nine hundred twenty-eight".