3906675040 has 96 divisors (see below), whose sum is σ = 9333140544. Its totient is φ = 1545246720.

The previous prime is 3906674969. The next prime is 3906675049. The reversal of 3906675040 is 405766093.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3906674984 and 3906675002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906675049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8021677 + ... + 8022163.

It is an arithmetic number, because the mean of its divisors is an integer number (97220214).

Almost surely, 2^3906675040 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 3906675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666570272).

3906675040 is an abundant number, since it is smaller than the sum of its proper divisors (5426465504).

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

3906675040 is a wasteful number, since it uses less digits than its factorization.

3906675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 3906675040 is about 62503.4002275076. The cubic root of 3906675040 is about 1574.9584320935.

The spelling of 3906675040 in words is "three billion, nine hundred six million, six hundred seventy-five thousand, forty".