3787223040 has 312 divisors, whose sum is σ = 13631527728. Its totient is φ = 1008599040.

The previous prime is 3787223021. The next prime is 3787223047. The reversal of 3787223040 is 403227873.

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

It is a junction number, because it is equal to n+sod(n) for n = 3787222986 and 3787223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787223047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976260 + ... + 4977020.

It is an arithmetic number, because the mean of its divisors is an integer number (43690794).

Almost surely, 2^3787223040 is an apocalyptic number.

3787223040 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 3787223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815763864).

3787223040 is an abundant number, since it is smaller than the sum of its proper divisors (9844304688).

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

3787223040 is an frugal number, since it uses more digits than its factorization.

3787223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3787223040 is about 61540.4179381323. The cubic root of 3787223040 is about 1558.7398106783.

The spelling of 3787223040 in words is "three billion, seven hundred eighty-seven million, two hundred twenty-three thousand, forty".