3746400 has 144 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 852480.

The previous prime is 3746399. The next prime is 3746453. The reversal of 3746400 is 46473.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16689 + ... + 16911.

It is an arithmetic number, because the mean of its divisors is an integer number (97216).

Almost surely, 2^3746400 is an apocalyptic number.

3746400 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 3746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

3746400 is an abundant number, since it is smaller than the sum of its proper divisors (10252704).

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

3746400 is a wasteful number, since it uses less digits than its factorization.

3746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3746400 is about 1935.5619339096. The cubic root of 3746400 is about 155.3118936601.

The spelling of 3746400 in words is "three million, seven hundred forty-six thousand, four hundred".