3906325463040 has 2880 divisors, whose sum is σ = 18686563983360. Its totient is φ = 728739348480.

The previous prime is 3906325462967. The next prime is 3906325463059. The reversal of 3906325463040 is 403645236093.

3906325463040 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 3 + 2 + 5 + 4 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49447157721 + ... + 49447157799.

It is an arithmetic number, because the mean of its divisors is an integer number (6488390272).

Almost surely, 2^{3906325463040} is an apocalyptic number.

3906325463040 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 3906325463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343281991680).

3906325463040 is an abundant number, since it is smaller than the sum of its proper divisors (14780238520320).

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

3906325463040 is a wasteful number, since it uses less digits than its factorization.

3906325463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3906325463040 in words is "three trillion, nine hundred six billion, three hundred twenty-five million, four hundred sixty-three thousand, forty".