3923400 has 96 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 963840.

The previous prime is 3923399. The next prime is 3923401. The reversal of 3923400 is 43293.

It is an interprime number because it is at equal distance from previous prime (3923399) and next prime (3923401).

It is not an unprimeable number, because it can be changed into a prime (3923401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7549 + ... + 8051.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^3923400 is an apocalyptic number.

3923400 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 3923400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

3923400 is an abundant number, since it is smaller than the sum of its proper divisors (9200760).

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

3923400 is a wasteful number, since it uses less digits than its factorization.

3923400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3923400 is about 1980.7574308834. The cubic root of 3923400 is about 157.7202763125.

Adding to 3923400 its reverse (43293), we get a palindrome (3966693).

The spelling of 3923400 in words is "three million, nine hundred twenty-three thousand, four hundred".