3866407440 has 160 divisors (see below), whose sum is σ = 13724764416. Its totient is φ = 882032640.

The previous prime is 3866407429. The next prime is 3866407477. The reversal of 3866407440 is 447046683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3866407392 and 3866407401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994300 + ... + 998180.

Almost surely, 2^3866407440 is an apocalyptic number.

3866407440 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 3866407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862382208).

3866407440 is an abundant number, since it is smaller than the sum of its proper divisors (9858356976).

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

3866407440 is a wasteful number, since it uses less digits than its factorization.

3866407440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3866407440 is about 62180.4425844654. The cubic root of 3866407440 is about 1569.5284991968.

The spelling of 3866407440 in words is "three billion, eight hundred sixty-six million, four hundred seven thousand, four hundred forty".