3923632440 has 768 divisors, whose sum is σ = 16823116800. Its totient is φ = 795764736.

The previous prime is 3923632421. The next prime is 3923632469. The reversal of 3923632440 is 442363293.

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 = 3923632395 and 3923632404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47272639 + ... + 47272721.

It is an arithmetic number, because the mean of its divisors is an integer number (21905100).

Almost surely, 2^3923632440 is an apocalyptic number.

3923632440 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 3923632440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411558400).

3923632440 is an abundant number, since it is smaller than the sum of its proper divisors (12899484360).

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

3923632440 is a wasteful number, since it uses less digits than its factorization.

3923632440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3923632440 is about 62638.9051628459. The cubic root of 3923632440 is about 1577.2339093901.

The spelling of 3923632440 in words is "three billion, nine hundred twenty-three million, six hundred thirty-two thousand, four hundred forty".