3900222144 has 448 divisors, whose sum is σ = 14952268800. Its totient is φ = 967458816.

The previous prime is 3900222091. The next prime is 3900222167. The reversal of 3900222144 is 4412220093.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2672487 + ... + 2673945.

It is an arithmetic number, because the mean of its divisors is an integer number (33375600).

Almost surely, 2^3900222144 is an apocalyptic number.

3900222144 is a gapful number since it is divisible by the number (34) 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 3900222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476134400).

3900222144 is an abundant number, since it is smaller than the sum of its proper divisors (11052046656).

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

3900222144 is a wasteful number, since it uses less digits than its factorization.

3900222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3900222144 is about 62451.7585340877. The cubic root of 3900222144 is about 1574.0908022340.

The spelling of 3900222144 in words is "three billion, nine hundred million, two hundred twenty-two thousand, one hundred forty-four".