3806406240 has 576 divisors, whose sum is σ = 15347646720. Its totient is φ = 785756160.

The previous prime is 3806406217. The next prime is 3806406251. The reversal of 3806406240 is 426046083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18039735 + ... + 18039945.

It is an arithmetic number, because the mean of its divisors is an integer number (26645220).

Almost surely, 2^3806406240 is an apocalyptic number.

3806406240 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 3806406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673823360).

3806406240 is an abundant number, since it is smaller than the sum of its proper divisors (11541240480).

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

3806406240 is a wasteful number, since it uses less digits than its factorization.

3806406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3806406240 is about 61696.0796161312. The cubic root of 3806406240 is about 1561.3671775296.

The spelling of 3806406240 in words is "three billion, eight hundred six million, four hundred six thousand, two hundred forty".