3948940032 has 72 divisors (see below), whose sum is σ = 10592956416. Its totient is φ = 1305916416.

The previous prime is 3948940019. The next prime is 3948940049. The reversal of 3948940032 is 2300498493.

It is a happy number.

It is a super-2 number, since 2×3948940032² = 31188254752664322048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77293 + ... + 117779.

Almost surely, 2^3948940032 is an apocalyptic number.

3948940032 is a gapful number since it is divisible by the number (32) 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 3948940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296478208).

3948940032 is an abundant number, since it is smaller than the sum of its proper divisors (6644016384).

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

3948940032 is a wasteful number, since it uses less digits than its factorization.

3948940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40633 (or 40619 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3948940032 is about 62840.5922314550. The cubic root of 3948940032 is about 1580.6177192609.

The spelling of 3948940032 in words is "three billion, nine hundred forty-eight million, nine hundred forty thousand, thirty-two".