3942483840 has 320 divisors, whose sum is σ = 14329062000. Its totient is φ = 1032708096.

The previous prime is 3942483799. The next prime is 3942483859. The reversal of 3942483840 is 483842493.

3942483840 is a `hidden beast` number, since 3 + 94 + 2 + 483 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3942483840² = 31086357657322291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3057916 + ... + 3059204.

Almost surely, 2^3942483840 is an apocalyptic number.

3942483840 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 3942483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164531000).

3942483840 is an abundant number, since it is smaller than the sum of its proper divisors (10386578160).

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

3942483840 is a wasteful number, since it uses less digits than its factorization.

3942483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3942483840 is about 62789.2016193868. The cubic root of 3942483840 is about 1579.7558560969.

The spelling of 3942483840 in words is "three billion, nine hundred forty-two million, four hundred eighty-three thousand, eight hundred forty".