3782862720 has 576 divisors, whose sum is σ = 16380131040. Its totient is φ = 797368320.

The previous prime is 3782862691. The next prime is 3782862731. The reversal of 3782862720 is 272682873.

3782862720 is a `hidden beast` number, since 378 + 2 + 8 + 6 + 272 + 0 = 666.

3782862720 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 a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668605 + ... + 3669635.

Almost surely, 2^3782862720 is an apocalyptic number.

3782862720 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 3782862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190065520).

3782862720 is an abundant number, since it is smaller than the sum of its proper divisors (12597268320).

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

3782862720 is a wasteful number, since it uses less digits than its factorization.

3782862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3782862720 is about 61504.9812616832. The cubic root of 3782862720 is about 1558.1413762112.

The spelling of 3782862720 in words is "three billion, seven hundred eighty-two million, eight hundred sixty-two thousand, seven hundred twenty".