3906405048 has 256 divisors, whose sum is σ = 12394368000. Its totient is φ = 1019450880.

The previous prime is 3906405001. The next prime is 3906405059. The reversal of 3906405048 is 8405046093.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3906404997 and 3906405015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18513663 + ... + 18513873.

It is an arithmetic number, because the mean of its divisors is an integer number (48415500).

Almost surely, 2^3906405048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906405048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197184000).

3906405048 is an abundant number, since it is smaller than the sum of its proper divisors (8487962952).

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

3906405048 is a wasteful number, since it uses less digits than its factorization.

3906405048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3906405048 is about 62501.2403716918. The cubic root of 3906405048 is about 1574.9221492384.

The spelling of 3906405048 in words is "three billion, nine hundred six million, four hundred five thousand, forty-eight".