3961746432 has 396 divisors, whose sum is σ = 13784923776. Its totient is φ = 1091543040.

The previous prime is 3961746421. The next prime is 3961746433. The reversal of 3961746432 is 2346471693.

3961746432 is a `hidden beast` number, since 396 + 174 + 64 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961746433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13998963 + ... + 13999245.

Almost surely, 2^3961746432 is an apocalyptic number.

3961746432 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 3961746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892461888).

3961746432 is an abundant number, since it is smaller than the sum of its proper divisors (9823177344).

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

3961746432 is a wasteful number, since it uses less digits than its factorization.

3961746432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3961746432 is about 62942.4056737586. The cubic root of 3961746432 is about 1582.3245216205.

The spelling of 3961746432 in words is "three billion, nine hundred sixty-one million, seven hundred forty-six thousand, four hundred thirty-two".