3934476000 has 576 divisors, whose sum is σ = 17200100736. Its totient is φ = 829440000.

The previous prime is 3934475999. The next prime is 3934476019. The reversal of 3934476000 is 6744393.

3934476000 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 47 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3275400 + ... + 3276600.

It is an arithmetic number, because the mean of its divisors is an integer number (29861286).

Almost surely, 2^3934476000 is an apocalyptic number.

3934476000 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 3934476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600050368).

3934476000 is an abundant number, since it is smaller than the sum of its proper divisors (13265624736).

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

3934476000 is a wasteful number, since it uses less digits than its factorization.

3934476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3934476000 is about 62725.4015531188. The cubic root of 3934476000 is about 1578.6855488684.

The spelling of 3934476000 in words is "three billion, nine hundred thirty-four million, four hundred seventy-six thousand".