3942743040 has 264 divisors, whose sum is σ = 14171954160. Its totient is φ = 1051066368.

The previous prime is 3942743039. The next prime is 3942743069. The reversal of 3942743040 is 403472493.

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

It is a junction number, because it is equal to n+sod(n) for n = 3942742986 and 3942743004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242576 + ... + 1245744.

Almost surely, 2^3942743040 is an apocalyptic number.

3942743040 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 3942743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085977080).

3942743040 is an abundant number, since it is smaller than the sum of its proper divisors (10229211120).

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

3942743040 is an equidigital number, since it uses as much as digits as its factorization.

3942743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3942743040 is about 62791.2656346406. The cubic root of 3942743040 is about 1579.7904758748.

The spelling of 3942743040 in words is "three billion, nine hundred forty-two million, seven hundred forty-three thousand, forty".