3722209920 has 384 divisors, whose sum is σ = 15103670400. Its totient is φ = 832757760.

The previous prime is 3722209913. The next prime is 3722209927. The reversal of 3722209920 is 299022273.

It is a happy number.

3722209920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3722209913) and next prime (3722209927).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3722209927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821421 + ... + 825939.

It is an arithmetic number, because the mean of its divisors is an integer number (39332475).

Almost surely, 2^3722209920 is an apocalyptic number.

3722209920 is a gapful number since it is divisible by the number (30) 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 3722209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551835200).

3722209920 is an abundant number, since it is smaller than the sum of its proper divisors (11381460480).

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

3722209920 is a wasteful number, since it uses less digits than its factorization.

3722209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3722209920 is about 61009.9165709969. The cubic root of 3722209920 is about 1549.7689450941.

The spelling of 3722209920 in words is "three billion, seven hundred twenty-two million, two hundred nine thousand, nine hundred twenty".