3734400 has 96 divisors (see below), whose sum is σ = 12331800. Its totient is φ = 993280.

The previous prime is 3734399. The next prime is 3734411. The reversal of 3734400 is 44373.

3734400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9406 + ... + 9794.

Almost surely, 2^3734400 is an apocalyptic number.

3734400 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 3734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165900).

3734400 is an abundant number, since it is smaller than the sum of its proper divisors (8597400).

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

3734400 is a wasteful number, since it uses less digits than its factorization.

3734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3734400 is about 1932.4595726690. The cubic root of 3734400 is about 155.1458910820.

Adding to 3734400 its reverse (44373), we get a palindrome (3778773).

The spelling of 3734400 in words is "three million, seven hundred thirty-four thousand, four hundred".