3978906624 has 660 divisors, whose sum is σ = 15247611720. Its totient is φ = 1021870080.

The previous prime is 3978906599. The next prime is 3978906647. The reversal of 3978906624 is 4266098793.

It is a happy number.

3978906624 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 9 + 0 + 6 + 624 = 666.

It is a super-2 number, since 2×3978906624² = 31663395845022154752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44706772 + ... + 44706860.

It is an arithmetic number, because the mean of its divisors is an integer number (23102442).

Almost surely, 2^3978906624 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 3978906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623805860).

3978906624 is an abundant number, since it is smaller than the sum of its proper divisors (11268705096).

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

3978906624 is a wasteful number, since it uses less digits than its factorization.

3978906624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3978906624 is about 63078.5749997572. The cubic root of 3978906624 is about 1584.6058288665.

The spelling of 3978906624 in words is "three billion, nine hundred seventy-eight million, nine hundred six thousand, six hundred twenty-four".