3923520 has 112 divisors (see below), whose sum is σ = 12850368. Its totient is φ = 1013760.

The previous prime is 3923483. The next prime is 3923527. The reversal of 3923520 is 253293.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3923527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58527 + ... + 58593.

Almost surely, 2^3923520 is an apocalyptic number.

3923520 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 3923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425184).

3923520 is an abundant number, since it is smaller than the sum of its proper divisors (8926848).

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

3923520 is a wasteful number, since it uses less digits than its factorization.

3923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 3923520 is about 1980.7877220944. The cubic root of 3923520 is about 157.7218842920.

The spelling of 3923520 in words is "three million, nine hundred twenty-three thousand, five hundred twenty".