3906012480 has 224 divisors, whose sum is σ = 13234513536. Its totient is φ = 972619776.

The previous prime is 3906012469. The next prime is 3906012499. The reversal of 3906012480 is 842106093.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234967 + ... + 2236713.

Almost surely, 2^3906012480 is an apocalyptic number.

3906012480 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 3906012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617256768).

3906012480 is an abundant number, since it is smaller than the sum of its proper divisors (9328501056).

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

3906012480 is a wasteful number, since it uses less digits than its factorization.

3906012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3906012480 is about 62498.0998111143. The cubic root of 3906012480 is about 1574.8693910338.

The spelling of 3906012480 in words is "three billion, nine hundred six million, twelve thousand, four hundred eighty".