3923432460 has 144 divisors (see below), whose sum is σ = 12446703360. Its totient is φ = 998490240.

The previous prime is 3923432449. The next prime is 3923432549. The reversal of 3923432460 is 642343293.

3923432460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2561895 + ... + 2563425.

It is an arithmetic number, because the mean of its divisors is an integer number (86435440).

Almost surely, 2^3923432460 is an apocalyptic number.

3923432460 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 3923432460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223351680).

3923432460 is an abundant number, since it is smaller than the sum of its proper divisors (8523270900).

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

3923432460 is a wasteful number, since it uses less digits than its factorization.

3923432460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2183 counting only the distinct ones).

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

The square root of 3923432460 is about 62637.3088502372. The cubic root of 3923432460 is about 1577.2071127418.

The spelling of 3923432460 in words is "three billion, nine hundred twenty-three million, four hundred thirty-two thousand, four hundred sixty".