3772189440 has 180 divisors, whose sum is σ = 13497954624. Its totient is φ = 1005889536.

The previous prime is 3772189427. The next prime is 3772189441. The reversal of 3772189440 is 449812773.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3772189441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85489 + ... + 121871.

Almost surely, 2^3772189440 is an apocalyptic number.

3772189440 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 3772189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748977312).

3772189440 is an abundant number, since it is smaller than the sum of its proper divisors (9725765184).

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

3772189440 is an equidigital number, since it uses as much as digits as its factorization.

3772189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36416 (or 36393 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3772189440 is about 61418.1523655670. The cubic root of 3772189440 is about 1556.6745730826.

The spelling of 3772189440 in words is "three billion, seven hundred seventy-two million, one hundred eighty-nine thousand, four hundred forty".