3942432648 has 320 divisors, whose sum is σ = 13902261120. Its totient is φ = 1022440320.

The previous prime is 3942432643. The next prime is 3942432649. The reversal of 3942432648 is 8462342493.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3942432643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6037090 + ... + 6037742.

It is an arithmetic number, because the mean of its divisors is an integer number (43444566).

Almost surely, 2^3942432648 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 3942432648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951130560).

3942432648 is an abundant number, since it is smaller than the sum of its proper divisors (9959828472).

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

3942432648 is a wasteful number, since it uses less digits than its factorization.

3942432648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 676 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3942432648 is about 62788.7939683508. The cubic root of 3942432648 is about 1579.7490185113.

It can be divided in two parts, 3942432 and 648, that multiplied together give a square (2554695936 = 50544²).

The spelling of 3942432648 in words is "three billion, nine hundred forty-two million, four hundred thirty-two thousand, six hundred forty-eight".