3906653980432 has 160 divisors (see below), whose sum is σ = 8952227020800. Its totient is φ = 1616848556544.

The previous prime is 3906653980393. The next prime is 3906653980451. The reversal of 3906653980432 is 2340893566093.

It is a super-3 number, since 3×3906653980432³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105759338 + ... + 1105762870.

It is an arithmetic number, because the mean of its divisors is an integer number (55951418880).

Almost surely, 2^{3906653980432} 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 3906653980432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476113510400).

3906653980432 is an abundant number, since it is smaller than the sum of its proper divisors (5045573040368).

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

3906653980432 is a wasteful number, since it uses less digits than its factorization.

3906653980432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 58.

The spelling of 3906653980432 in words is "three trillion, nine hundred six billion, six hundred fifty-three million, nine hundred eighty thousand, four hundred thirty-two".