3906040320 has 1120 divisors, whose sum is σ = 18033345792. Its totient is φ = 788299776.

The previous prime is 3906040319. The next prime is 3906040337. The reversal of 3906040320 is 230406093.

3906040320 is a `hidden beast` number, since 39 + 0 + 604 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827829 + ... + 169827851.

Almost surely, 2^3906040320 is an apocalyptic number.

3906040320 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 3906040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016672896).

3906040320 is an abundant number, since it is smaller than the sum of its proper divisors (14127305472).

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

3906040320 is an equidigital number, since it uses as much as digits as its factorization.

3906040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3906040320 is about 62498.3225374890. The cubic root of 3906040320 is about 1574.8731326382.

The spelling of 3906040320 in words is "three billion, nine hundred six million, forty thousand, three hundred twenty".