3934800 has 90 divisors (see below), whose sum is σ = 13667342. Its totient is φ = 1048320.

The previous prime is 3934783. The next prime is 3934813. The reversal of 3934800 is 84393.

It can be written as a sum of positive squares in 3 ways, for example, as 1192464 + 2742336 = 1092^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3054 + ... + 4146.

Almost surely, 2^3934800 is an apocalyptic number.

3934800 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 3934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833671).

3934800 is an abundant number, since it is smaller than the sum of its proper divisors (9732542).

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

3934800 is a wasteful number, since it uses less digits than its factorization.

3934800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3934800 is about 1983.6330305780. The cubic root of 3934800 is about 157.8728882049.

The spelling of 3934800 in words is "three million, nine hundred thirty-four thousand, eight hundred".