3806380032 has 480 divisors, whose sum is σ = 13387809792. Its totient is φ = 934281216.

The previous prime is 3806379979. The next prime is 3806380037. The reversal of 3806380032 is 2300836083.

It is a junction number, because it is equal to n+sod(n) for n = 3806379975 and 3806380002.

It is not an unprimeable number, because it can be changed into a prime (3806380037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102875118 + ... + 102875154.

Almost surely, 2^3806380032 is an apocalyptic number.

3806380032 is a gapful number since it is divisible by the number (32) 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 3806380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693904896).

3806380032 is an abundant number, since it is smaller than the sum of its proper divisors (9581429760).

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

3806380032 is a wasteful number, since it uses less digits than its factorization.

3806380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3806380032 is about 61695.8672197741. The cubic root of 3806380032 is about 1561.3635940616.

The spelling of 3806380032 in words is "three billion, eight hundred six million, three hundred eighty thousand, thirty-two".