3946577904 has 100 divisors (see below), whose sum is σ = 11435898760. Its totient is φ = 1313988480.

The previous prime is 3946577867. The next prime is 3946577911. The reversal of 3946577904 is 4097756493.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1850919 + ... + 1853049.

Almost surely, 2^3946577904 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 3946577904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717949380).

3946577904 is an abundant number, since it is smaller than the sum of its proper divisors (7489320856).

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

3946577904 is a wasteful number, since it uses less digits than its factorization.

3946577904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3946577904 is about 62821.7948167672. The cubic root of 3946577904 is about 1580.3024982959.

The spelling of 3946577904 in words is "three billion, nine hundred forty-six million, five hundred seventy-seven thousand, nine hundred four".