3946429920 has 192 divisors, whose sum is σ = 12904303104. Its totient is φ = 1013053440.

The previous prime is 3946429909. The next prime is 3946429951. The reversal of 3946429920 is 299246493.

It is a super-2 number, since 2×3946429920² = 31148618226942412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3946429920.

It is a congruent number.

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, 1464094 + ... + 1466786.

It is an arithmetic number, because the mean of its divisors is an integer number (67209912).

Almost surely, 2^3946429920 is an apocalyptic number.

3946429920 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 3946429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452151552).

3946429920 is an abundant number, since it is smaller than the sum of its proper divisors (8957873184).

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

3946429920 is a wasteful number, since it uses less digits than its factorization.

3946429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 3946429920 is about 62820.6169979251. The cubic root of 3946429920 is about 1580.2827459591.

The spelling of 3946429920 in words is "three billion, nine hundred forty-six million, four hundred twenty-nine thousand, nine hundred twenty".