3806415360 has 480 divisors, whose sum is σ = 15029359488. Its totient is φ = 881295360.

The previous prime is 3806415307. The next prime is 3806415401. The reversal of 3806415360 is 635146083.

3806415360 is a `hidden beast` number, since 3 + 8 + 0 + 641 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5828794 + ... + 5829446.

Almost surely, 2^3806415360 is an apocalyptic number.

3806415360 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 3806415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514679744).

3806415360 is an abundant number, since it is smaller than the sum of its proper divisors (11222944128).

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

3806415360 is a wasteful number, since it uses less digits than its factorization.

3806415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3806415360 is about 61696.1535267799. The cubic root of 3806415360 is about 1561.3684245201.

The spelling of 3806415360 in words is "three billion, eight hundred six million, four hundred fifteen thousand, three hundred sixty".